1. Find the solution of ,given substitution v=- 2. Solve the particular solution +2(x+1)y = 0,...

  

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1. Find the solution of ,given substitution v=- 2. Solve the particular solution +2(x+1)y² = 0, y(0)=-1/8. Also give the dx largest interval on which your solution is valid. dy 1 dx yx²2x 3. Find the solution of the initial value problem for (x²+1)+y=1, y(0) = 2 dy dx dy 5x+4y = dx 8y³-4x 5. Find the particular solution of y"+y=tan(x) <x<by variation parameters method. 6. Solve the general solution of y"-4y=x+3cosx by undertermine coeeficient. 4. Solve the given differential equation 2. If Laplace 1. Solve the particular equation by Laplace transform method y"-3y+2y=2x+1, y(0)=2, y'(0)=-1 - -2 0<x<2 f(x)=x 2<x<5, find L{f(x)}. 3 25 1. Find the solution of ,given substitution v=- 2. Solve the particular solution +2(x+1)y² = 0, y(0)=-1/8. Also give the dx largest interval on which your solution is valid. dy 1 dx yx²2x 3. Find the solution of the initial value problem for (x²+1)+y=1, y(0) = 2 dy dx dy 5x+4y = dx 8y³-4x 5. Find the particular solution of y"+y=tan(x) <x<by variation parameters method. 6. Solve the general solution of y"-4y=x+3cosx by undertermine coeeficient. 4. Solve the given differential equation 2. If Laplace 1. Solve the particular equation by Laplace transform method y"-3y+2y=2x+1, y(0)=2, y'(0)=-1 - -2 0<x<2 f(x)=x 2<x<5, find L{f(x)}. 3 25

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