15. Determine the particular solution of the following differential equation: y'=(2x+3)(y2-4) Where: x=0; y=1 Provide your own diagram if necessary and show proper solution.

Q: ANS: Try these! Solve the following equations 1) 2(y + 1)ex dx + 2(ex − 2y)dy = 0 1 2 (exy +ex -…

A: Given: The given differential equation 2y+1exdx+2ex-2ydy=0 To find: To find the solution of the…

Q: Eliminate the arbitrary constants F and G from the given equation below. y e3x = Fsin2x + Gcos2x

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Q: cos y -y S 56°³³ Sỹ¯³ sin(y+z) dzdxdy 2

A: Topic = Integration

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Q: X = T X= O continuous from the right O continuous from the left O neither (smallest value) O…

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Q: x² + y² = 8 y = x + 4

A: Solution

Q: how that x³ + 2x = -1 has a solution in an interval of length. You may find s helpful to complete…

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Q: 7) Solve 5 3 x-6 x + 2 IV and give your answer in interval notation.

A: Here we just have to simplify the expression. See below the calculation and answer

Q: Given the 3x3 matrix as follows: Row 1 (10,-47,62); Row 2 (-81,24,16); Row 3 (-17, 18, -14), find…

A: Given; Row 1 (10,-47,62); Row 2 (-81,24,16); Row 3 (-17, 18, -14)

Q: 113 = 4 2x+1+√x (x+1)(1+√x) dx

A: Use substitution method

Q: Identify whether the limits of the following does exist or not. If yes, find the limit and if not,…

A: To identify whether the following limit exist or not. If yes, then to to find the limit and if not,…

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Q: C If a bank pays 1.95%, per year interest. Compounded continuously, how long does it take for the…

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Q: 10. Find the values of x where the tangent line is horizontal. f(x) = (x² - 9)²

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Q: B. Verify if the indicated particular solution is a solution of the given differential equation. 1.…

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Q: Solve the following quadratic equations using elimination method: Question 7: x2 - 4 - y = 0 x2 - 4…

A: Given, y= x^2 - 4 equation no.(1) & y= x^2 - 4 equation no.(2) Now, using elimination method.…

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: Given curves:- y=1x,y=0, x=1 and x=4

Q: 9. The graph below shows the number of tuberculosis deaths in the United States from 1989 to 1998.…

A: Given,          The graph is shown below :

Q: lim = (5(x² - 1)² – 10) X-2

A: Topic = Limits

Q: 3. Determine whether the following function y = c₂x + c₂x³ + 2x²e² is a solution to the differential…

A:

Q: the arbitrary constants and G from the given equation below. y e3x = Fsin2x + Gcos2x

A:

Q: 1) In the 2000 U.S.​ Census, a small city had a population of 60,000.  By the​ 2010, the population…

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Q: 3. W를 32 W32/22 50

A: Given :              w3232-w3250  = ? so we know that :…

Q: Question 5 An n-th order differential equation usually contains n arbitrary constants. O True O…

A: To determine whether the following statement is True or False.An nth order differential equation…

Q: The y' for 4xy = x

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Q: Use logarithmic y = differentiation to find dy/dx. (x + 1)(x - 10) (x - 1)(x + 10) X>10

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Q: Determine the expression for F (x, y, z) given the function F(x, y, z) = 2x²y - xz² + 3y²z.

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Q: 16. (x-ylny + y lnx) dx + x(lny - Inx) dy = 0.

A: see below the answer and calculation

Q: limx→2 f (x) = limx→2 g(x) = infinity Find limx→2 (f(x)+g(x)) Find limx→2 (f(x)-g(x))

A:

Q: Hi T Consider the parabola y = 8x - x². (a) Find the slope of the tangent line to the parabola at…

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Q: Eliminate the constant: 3x =c₁e²x + c₁₂e ³x Oy"-y'-6y=0 Oy"-5y'+6y=0 Oy"+y'-6y=0 Oy"+ 5y'+6y=0

A: Application of differential equations

Q: How many three-digit numbers can be constructed from the digits 0, 1, 3, 5, 7, 9 if the number must…

A: Topic:- permutation and combinations

Q: Solve for the particular solution of the differential equation below when s=2 and 0=π/4 tanede +…

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Q: Question Find the antiderivative of r' (t) = (est, e-7t₁ -&) that satisfies the initial condition…

A: Given: r'(t)=e5t, e-7t, -6t9

Q: dx 3. = 8-3x; x(0) = 4 dt

A: To find out the differential equation.

Q: 2. y = 4-5x 4+5x

A:

Q: 3. Consider the two lines: z = 1+ 2t, y=-3+4t, z=2-2t and z=2+ 4s, y = 88, 2 = -48. (a) Show that…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: Using differentials, approximate the change in length of the space diagonal of a parallelepiped of…

A: To find out the change in length of the diagonal of the parallelepiped.

Q: Set up, but do not evaluate, an integral that calculates the length of the curve y = 2/x+4 from x =…

A:

Q: Q3/Use the Simpson's and trapezoidal rules with n=8 to estimate (+)dx and determine which rule is…

A: ∫04x1+exdx We know that simpson's 3/8 rule ∫abf(x)dx=38hy0+yn+3y1+y2+y4+y5....+2(y3+y6+...)

Q: Question 7: x²-4-y=0 x²-4-y=0

A: Given  x2-4-y=0 x2-4-y=0

Q: en the differential equation 4x²+ y² dx+x\x-2y dy=0 Verify that M(x, y)= (4x²+ y²) and N (x, y) = x…

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Q: 1. Evaluate the following and give the exact value: -π/2 сosy π-y π/6 sin(y+z) dz dx dy

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: Determine the domain of the given function x-2 g(x) = 2/7/7/²2 √x

A: To determine the domain of the given function.gx=x-2x

Q: Question 10: x + 2z = 1 2y-z = 8 xyz = 0

A: Topic = Linear equations

Q: ve for the particular solution of the differential equation below when s=2 0=π/4 tanede + scos² Ods…

A: We use the variable separable method to solve the given differential equation for the particular…

Q: 5. x²y = 4x² + 7xy + 2y₁².

A:

Q: 9. y" + 2y'- 3y = 1 + xe*

A: The given equation is; y''+2y'-3y=1+xex.

Q: 4. Evaluate the following and give the exact value: π/2 cosy -y π/6 0 'y sin(y+z) dz dx dy

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Q: Eliminate the constant: 3x 3x y=c^+c xe +c xe Oy"-6y'+9y=x y"+ 6y'+9y=0 Oy"-6y'+9y=0 Oy"-4y+3y=0

A: