What is the solution for (d^2y)/(dx^2)-1(dy)/(dx)=0 ?

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

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(d^2y)/(dx^2)-1(dy)/(dx)=0

\frac{d ^{2} y}{d x ^{2}} - 1 \frac{d y}{d x} = 0

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 1 \frac{d y}{d x} = 0

Solve linear ODE:

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

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

y^{^{''}} + 12 y^{^{'}} + 16 y = 0

y^{^{''}} - y - 12 y = 0

f^{^{''}} (x) + f^{^{'}} (x) = 0

y^{^{''}} + 3 y^{^{'}} + 2 y = 0, y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} + 3 y^{^{'}} + 2 y = 0, y (0) = 0, y^{^{'}} (0) = 2

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