What is the solution for (d^2y)/(dx^2)-8(dy)/(dx)+159=0 ?

The solution for (d^2y)/(dx^2)-8(dy)/(dx)+159=0 is y=c_{1}e^{8x}+c_{2}+(159x)/8

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(d^2y)/(dx^2)-8(dy)/(dx)+159=0

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 159 = 0

y = c_{1} e^{8 x} + c_{2} + \frac{159 x}{8}

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 159 = 0

Solve linear ODE:

y = c_{1} e^{8 x} + c_{2} + \frac{159 x}{8}

y = c_{1} e^{8 x} + c_{2} + \frac{159 x}{8}

y^{^{''}} + 3 y^{^{'}} + 3 y = 6 sin (2 t)

y^{^{''}} - 14 y^{^{'}} + 49 y = 14 x + 3

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

y^{^{''}} + 2 y^{^{'}} = e^{- 2 x}

y^{^{''}} + 4 y = \frac{2}{sin ( 2 x )}

What is the solution for (d^2y)/(dx^2)-8(dy)/(dx)+159=0 ?
The solution for (d^2y)/(dx^2)-8(dy)/(dx)+159=0 is y=c_{1}e^{8x}+c_{2}+(159x)/8