What is the solution for (d^2y)/(dx^2)+4(dy)/(dx)-12=0 ?

The solution for (d^2y)/(dx^2)+4(dy)/(dx)-12=0 is y=c_{1}+c_{2}e^{-4x}+3x

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(d^2y)/(dx^2)+4(dy)/(dx)-12=0

\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} - 12 = 0

y = c_{1} + c_{2} e^{- 4 x} + 3 x

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} - 12 = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- 4 x} + 3 x

y = c_{1} + c_{2} e^{- 4 x} + 3 x

What is the solution for (d^2y)/(dx^2)+4(dy)/(dx)-12=0 ?
The solution for (d^2y)/(dx^2)+4(dy)/(dx)-12=0 is y=c_{1}+c_{2}e^{-4x}+3x