dy Solve the differential equation (x+1)+y=4e*, x>0. dx The solution is (Type an equation. HE

Q: solve the differential equation using variation of parameters: 2x2y′′ + 5xy′ + 9y = -x2 - 2x. only…

A: The given problem is to find the solution for the given differential equation by using the variation…

Q: Solve the differential equation: dy/dx = 2 + sqrt(y -2x + 3)

A:

Q: Solve the differential equation: dy + (2x – 7)y dx 8x9

A:

Q: Solve the differential equation dr dr 6-+9x=0; when t=0, x=2 and =0. dr dr2 dr

A: The given differential equation is                             d2xdt2-6dxdt+9x=0  with         when…

Q: dy = -y + 2 with the initial value y(0) = -2 dx

A: Explanation of the answer is as follows

Q: Solve the differential equation: (2xy-sinx)dx+(x² - cosy)dy=0.

A: The given differential equation is  (2xy-sinx)dx+(x2-cosy)dy=0 It is of the form , Mdx+Ndy=0 . This…

Q: dy 2xy dx 1+x² =

A: Sol:- dydx=2xy1+x2A first order separable ODE has the form of Ny·y'=MxSubstitute dydx with y' y'…

Q: dy (x – 3x²y). %3 ху? + у dx

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Q: -3z y" + 6y' + 9y = for a> 0.

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Q: solution to this differential equation: x3 ydx + (3x4-y3)dy = 0

A:

Q: solution to this differential equation: (y3sec2x)dx - (1-2y2tanx)dy = 0

A: The given DE is: y3sec2xdx-(1-2y2tanx)dy=0 So, let  M=y3sec2x, N=-(1-2y2tanx)So, My=3y2sec2x,…

Q: dy 4x+xy² dx y-x²y =

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Q: solution to this differential equation: (x5-y2)dx + 2xy dy = 0

A: Given differential equation is x5-y2dx+2xydy=0