What is the solution for y-y^{''}=(1+pi^2)sin(pix) ?

The solution for y-y^{''}=(1+pi^2)sin(pix) is y=c_{1}e^x+c_{2}e^{-x}+sin(pix)

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y-y^{''}=(1+pi^2)sin(pix)

y - y^{^{''}} = (1 + π^{2}) sin (π x)

y = c_{1} e^{x} + c_{2} e^{- x} + sin (π x)

Solution steps

y - y^{''} (x) = (1 + π^{2}) sin (π x)

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} + sin (π x)

y = c_{1} e^{x} + c_{2} e^{- x} + sin (π x)

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y = (5 x + 1)^{4} (4 x + 3)^{- 2}

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What is the solution for y-y^{''}=(1+pi^2)sin(pix) ?
The solution for y-y^{''}=(1+pi^2)sin(pix) is y=c_{1}e^x+c_{2}e^{-x}+sin(pix)