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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

u^{^{''}} + 144 H (t) = 0, H (0) = 3, u^{^{'}} (0) = - 48

y^{^{'''}} - 7 y^{^{''}} + 19 y^{^{'}} - 13 y = 0

y^{^{''}} + 2 k y^{^{'}} + k^{2} y = 0

y^{^{''}} + 2 y^{^{'}} + 63 y = 0

4 x^{^{''}} + 12 x^{^{'}} + 9 x = 0

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