What is the solution for (4+8x)y^{''}-8y+(4-8x)y=0 ?

The solution for (4+8x)y^{''}-8y+(4-8x)y=0 is y=c_{1}e^x+c_{2}e^{-x}

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(4+8x)y^{''}-8y+(4-8x)y=0

(4 + 8 x) y^{^{''}} - 8 y + (4 - 8 x) y = 0

y = c_{1} e^{x} + c_{2} e^{- x}

Solution steps

(4 + 8 x) y^{''} (x) - 8 y + (4 - 8 x) y = 0

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x}

y = c_{1} e^{x} + c_{2} e^{- x}

What is the solution for (4+8x)y^{''}-8y+(4-8x)y=0 ?
The solution for (4+8x)y^{''}-8y+(4-8x)y=0 is y=c_{1}e^x+c_{2}e^{-x}