Is the equation t²y' (1) t + 4 - separable? y?

Q: How come it is 20y and not 20y^2/2 after integrating?

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Q: Find the differential d4y of the function y=x5.

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Q: Evaluate. The differential is exact. (1, 1, 1) (-10x - 8x7y7) dx - 7xS6 dy + 54z5 dz (0, 0, 0) 3 4

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Q: Find the differential dy. y = 6x7 + 3x2

A: Given:y=6x7+3x2

Q: y =x3 dy Itx² -

A: Note  You type wrong Question here in place of dx/dy must be dy/dx  I solve it using dy/dx otherwise…

Q: usk 2: Find the derivative of 4x2 + 6y3 = 50 by filling the blanks. %3D (2 xD(x-)+x 6)(y³4)_=__ dy >…

A: We have, 4x2+6y3=50            ⋯⋯1 We know that, from basic derivative formula ddxkxn=n·kxn-1ddxk=0…

Q: Find the differential of the function y=√x3+4x at x=2.

A: Given the function:

Q: Calculate the differential of the function y=x5−7x3+5x at the point x=2 when dx=0,2.

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Q: solve the differenhal equa hon by varianon of parameters y" + 3y't 2y 7 te* y (x)

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Q: X 1.-+ J y = 37ab2, y" X

A: Let's find.

Q: Find the total differential. z = 10x"y3 dz =

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Q: 4. Show that 2 s w (b) L(t sinh (wt)) (s² – w²)2 -

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Q: Find the differential of the function. z = 3t - = zp

A: Differentiate the function: - Differentiation is that the quantitative relation of a small amendment…

Q: Find the differential d4y of the function y=x4.

A: Given function is

Q: What is the integrating factor of xy' + 6y = 3xy3?

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Q: (solve exact de) (2ysinxcosx - y + 2y²e*v¨ )dx = (x - sin'x - 4xye )dy

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Q: Calculate the differential of the function y=2x x2−3 at the point x=3 when dx=−315.

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Q: solve the differential eq + 2x) dx = = (2y \1+x²y² |dy 1+x²y²

A: The given differential equation is: y1+x2y2+2xdx=2y-x1+x2y2dy

Q: )L{sinh(7t) + (2t + 1)U (t – 1)},

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Q: 3x V1-x x = 0. y(x) = at Equation of the tangent line

A: Given,           yx=3x1-x2 at x=0

Q: If y = 4x³ + 2x² + 11, find the approximate value of y when x = 2.01, using differentials.

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Q: Find the derivative of the function y = In(3t + 4). %3D dy dt

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Q: Find the approximate root of y = 3x? 12x – 15 when x 0.02 using differentials.

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Q: Determine the integrating factor xydy - (y2-3x2)dx = 0

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Q: To use differentials to approximate V9. You would use x = and dx

A: Solis as follows

Q: find the soution of' the differential eq. System X= 3X+44 9=X+3y %3D

A: Given differential equations are                                     dxdt=3x+4y,dydt=x+3y…

Q: Find the differential of the function z=2x'y %3D

A: If z is a function of two variables defined by z=f(x,y) then the differential dz or total…

Q: Find the differential of the function y=2x2+3x+1 at the point x=1 when dx=0,1.

A: To find the differential of the given function at point x = 1 when (d x) = 0, 1.

Q: Find the differential dy of the given function. y = sec2x/(x2 + 1)

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Q: Obtain the general solution using variation of parameter. (D² + 1)y= cotx

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Q: The integrating factor of Y + 3y cscx= cotx is?

A: Consider the given differential equation, y'+3ycscx=cotx This is the first order linear differential…

Q: (continue solution of de) (2ysinxcosx - y + 2y²e*Y" )dx = (x - sin²x - 4xye*y" )dy

A: Using method of exact differential equation.

Q: Find the differential dy. y = cubic root of 3x^2

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Q: Find the differential d3y of the function y=1/√x.

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Q: Find the solution of the DE using reduction Order (D2 + 4)y = sinx

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Q: 4. y2 +2xy 4, find y" Ans. y" = (x+y)

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Q: Find the differential of y=x^4-2x^2

A: Given query is to find the differential of the expression.

Q: find the differential dy if y= sqrt(2x^5-3x

A: Given query is to find the differential of the expression.

Q: Solve the initial-value pxoblem dy dr COSX-Sinx t %3D yro)%3D0 Using Adams. Moulton.

A: Given differential equation is dydx=cosx-sinx+y Let  f(x,y)=cosx-sinx+y                 (1) 0≤x≤0.5,…

Q: Solve using variaton of parameters or recuction of order (D²-2D+1)y = e" (e*+)²

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Q: Find the approximate root of y = 2x2 + 4x – 6 when x = 0.01 using differentials. -

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Q: Express x = ln(7t), y = 9-t in the form y = f(x) by eliminating the parameter.

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Q: y' – ey : = sin x

A: In this question, we have given a differential equation y'-ey=sin(x) here, we need to check either…

Q: The integrating factor of the equation (2 + y + x) dx + xydy = 0 is

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Q: b) Find if dx2 d²y Lm Vt2 + 5 dt + sinx = y – x secx rsinx

A: We will first find the first order derivatives using Newton-Leibnitiz theorem. The , we will find…

Q: Find the total differential. z = 10x6y7 dz =

A: Differentiation of xⁿ = nxn-1

Q: . Use separable equations to find the general and particular solution of xy dx – (x +

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Q: find the differential dy of the function y=x2sin(8x)

A: Find the differential dy of the function y = x2 sin(8x) as follows.