How do I find an equation that y=xe^(x) cos(2x) is it's solution

Q: Find the solution of the given initial value problem in explicit form. () T sin(2x) dx + cos(9y) dy…

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Q: Solve y'y" = 1.

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Q: Solve the linear equation:dy/dx + y = e^−x  sin x

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Q: Solve the equation y''' - y'' - 2y'= 0

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Q: find the first and second derivatives

A: Given expression: w=3z7-7z3+21z2

Q: Find y" by implicit differentiation. 2x3 + 5y³ = 2 y" = 2x² 512 X

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Q: Find y" 13. y = x²sin (3x)

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Q: y" - y' - y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: Given :y''-y'-y=cos5t-sin5ty(0)=2 and y'(0)=5

Q: y''+y=(1)/(cos(x)) Solve

A: Consider the provided differential equation,

Q: what's y'' of y=4secx csc x

A: Given; y=4secx csc x

Q: Find y' cos(xy) - y^4 = 5 - 3x

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Q: Solve the value of x and y using Newton's Method xy^2+4y=-2 3x^2-xy=10

A: We are given the following equations.          xy2+4y=-2    ------(1)3x2-xy=10      ------(2) Now,…

Q: Solve yuyx - Ux=4/x

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Q: Given f'"(1) = – 4 sin(2x) and f'(0) = 2 and f(0) = 1. Find fG): sin(7 + 1)

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Q: Solve y'= 3y.x² 3 x³ + 2y4

A: This question can be solved using the concept of linear differential equation.

Q: 8e cos 2x dx csc(x) sec(x)

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Q: Solve y'-y cosx = cos x

A: We now solve the differential equation, y' -ycosx=cosx . This is a first order homogeneous equation.

Q: x+1 Solve y'=- y +1

A: Differential equation

Q: cos x )y+y'= e^(-sinx) solve the dif eq for the problem above  thanks

A: Given that  (cos x )y+y'= e^(-sinx)

Q: 2) Find the general solution of the equation 1 y""+y' = (sinx)3

A: The  given equation  is  The auxiliary  equation is  given by…

Q: (e^x+y^3).dy=0

A: The differential equation is given 2x2y2+exydx-ex+y3dy=0. To check whether the equation is exact…

Q: * Salne the equalion:- (2x-44 +5)y'=n -2y+3

A: This homogeneous differential equation is solve by substitution and then by separation of variables…

Q: y'=2+ye^(xy)/2y-xe^(xy) find the exact equation

A: Exact DE

Q: solve using variation of parameters   y''''-y'''=2t2+sinh2t

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