What is the solution for (d^2y)/(dx^2)-5(dy)/(dx)=0 ?

The solution for (d^2y)/(dx^2)-5(dy)/(dx)=0 is y=c_{1}e^{5x}+c_{2}

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(d^2y)/(dx^2)-5(dy)/(dx)=0

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} = 0

y = c_{1} e^{5 x} + c_{2}

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} = 0

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2}

y = c_{1} e^{5 x} + c_{2}

What is the solution for (d^2y)/(dx^2)-5(dy)/(dx)=0 ?
The solution for (d^2y)/(dx^2)-5(dy)/(dx)=0 is y=c_{1}e^{5x}+c_{2}