Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1

Q: Solve for the value of C in the equation: (2xy¹ey + 2xy³ + y)dx + (x²y4e¥ − x²y² – 3x)dy = 0 when…

A: The given equation is; (2xy4ey+2xy3+y)dx +( x2y4ey - x2y2-3x)dy=0 y(1)=1.

Q: dy Solve for the value of C in the equation: + ycotx dx OA. -5 B. 5 OC.-4 D. 4 E. None of the…

A: The given differential equation is dydx+ycotx=5ecosx, yπ2=1 This is a linear differential equation…

Q: dy Solve for the value of C in the equation: + ycotx = 5ecosx when y() = 1 dx OA.-5 OB. 5 OC.-4 OD.4…

A: It is a linear differential equation of first order so find first integrating factor

Q: cost function for Joanne's T-shirt production. hirts must she produce and sell in order to break…

A: we will find the required.

Q: - Let 3x² + 1 13 10x - 7 ermine if f(x) is continuous at x = 2 by computing limit: f(x) = x 2

A: Given query is to find function is continuous or not on x = 2.

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given expression, y=x3-12x

Q: Degree of homogeneity of the functiom f(x,y) = (x²-4y²)^-1/2

A: To find the degree of homogeneity of the function.

Q: define power function.

A: Power Function:- A power function also called an exponential function is employed frequently in…

Q: If $1000 is deposited in an account paying 8 % annual interest, compounded continuously, how long…

A: Given query is to find the time to reach the amount to $1600.

Q: Determine the order and degree of the differential equation, 3x- dy4 O A. First order, fourth degree…

A: Topic- Order and degree of differential equation We are given, 3xd4xdy4+5x2d2ydx23-xy=0We know that…

Q: (a) lim 2 – 52+6 H-2 4-x² pts

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x О А. y" - 3y' = 0 OB. 3y"…

A: the given  general solution  y=c1+c2e3x⇒y=c1e0(x)+c2e3x

Q: First-class Mail In 2015 the U.S. Postal Service charged$0.98 postage for first-class mail retail…

A: Given that Postal Service charged $0.98 for postage weighing up to 1 ounce, plus $0.22 for each…

Q: silver

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Q: Classify the given Differential Equation according to (1) ORDER; (2) DEGREE; (3) TYPE; (4) LINEARITY…

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Q: Question Use the formula to evaluate 4e4x 16+e4x dx. Include +C in your answer. Provide your answer…

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Q: Below is the graph of y = f'(x), which is the derivative for some function f. Using the graph of the…

A: Given query is to find find the interval where function is decreasing .

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x.

A: Obtain the differential equation whose general solution is y= C1 + C2 e^3x

Q: e Monday by Question Use the formula 8x7 4+x4 Include +C in your answer. to evaluate Provide your…

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Q: 01

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Q: Find the term indicated in the expansion (2x + y)6; third term.

A: Given: The given expression is: (2x + y)6 Formula Used: Binomial expansion: a+bn = C0nanb0 +…

Q: Use the graph of f to determine each of the following. Where applicable, use interval notation. a.…

A: The domain is the set of all possible input x values while the range is the set of all possible…

Q: Let p, q and r be the propositions: p: Wild foxes have been seen in the area. q: Hiking is safe on…

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Q: Find the limit, if it exists, or type N if it does not exist. 2x² lim (x,y) (0,0) 4x2 + 1y²

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Q: 5. Logarithmic Differentiation Method dy (a) Let y = x. Compute by using logarithmic…

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Q: Which of the equations below is a second order nonlinear differential equation? A. 2 x²y - (1 - dx)²…

A: To find the nonlinear equations.

Q: Use Simpson's Rule and all the data in the following table to estimate the value of the 3 integral…

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Q: Determine the solution of the differential equation: dx dy y 4² + X y

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Q: Solve for the value of C in the equation: (2xy¹ey + 2xy³ + y)dx + (x²y4e³ − x²y² – 3x)dy = 0 when…

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Q: 4. Linear Equations a. (y - cos²x) dx + cosxdy =

A: Solution of a linear differential equation of the form y'+P(x)y=Q(x) isy×IF=∫Q(x)×IFdx+C, where…

Q: The integrating factor (IF) of the equation y' - 2ycot2x = 1-2xcot2x - 2csc2x

A: Given, y'-2x cot(2x)=1-2x cot(2x)-2 csc2x

Q: Determine all the methods that can be used to solve the differential equation ( 3x ²y ³ — 4x − y ³)…

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Q: lim 0-0 cos 0 - 1 20²

A: SOLUTION-

Q: what is decreasing function?

A: What is decreasing function?

Q: The binomial expansion for (a + b)n contains n terms.Determine whether the statement is true or…

A: Given, a+bn

Q: 5. Show that dy ay of dx of arccosx -1 √1-x²

A: Given that dydx of arccosx=-11-x2 We have to prove this derivative.

Q: How long will it take for $1,000 to be worth $2,000 at 6 % interest, compounded continuously? Round…

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Q: •√√cos Evaluate cos x sin³ x dx. + C

A: Given query is to find the value of the integral.

Q: The degree of homogeneity of the function f(x, y) = (x² − 4y²)-¹/² O A. 1 OB.-1 O C. -1/2 D. None of…

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Q: dP Which among the choices is the same as the differential equation = P(C₁-C₂P)? dt A. dP dt B. dp…

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Q: Determine the solution of the differential equation: dx + -1 dy y² y

A: The given differential equation is dydx=x2y2+xy-1

Q: Which of the following equations is NOT a variable separable differential equation? O A. 2xydx + (x²…

A: Option D is not a variable  separable  differential  equation .

Q: The voltage V in a simple electrical circuit is slowly decreasing as the battery wears out. The…

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Q: 13. Suppose that lim f(x) = 13 and lim g(x) = -7. Find the following limits. X-4 X-4 a. lim…

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Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. O B. O U ev O D.y O E.…

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Q: 1. Find the limit. lim X-5 lim x-5 2 √x +11 -6 x-5 2 √√x+11 -6 X-5 =

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Q: A simplified economy involves just three commodity categories-agriculture, manufacturing, and…

A: Solution: Given an input-output matrix  The production matrix is X and Demand matrix is D

Q: the solution of A=19 is incorrect. The answer was suppose to be A = 21 but I am not sure how that…

A: Graph:-

Q: Which of the equations below is a second order nonlinear differential equation? O B. O A. 2 dy |x²y…

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Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. O B. ey O eLny °A O D.Y O…

A: given    y(x+y+1)dx+x(x+3y+2)=0