What is the solution for (d^2y)/(dx^2)(1)-(dy)/(dx)(9)=0 ?

The solution for (d^2y)/(dx^2)(1)-(dy)/(dx)(9)=0 is y=c_{1}e^{9x}+c_{2}

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(d^2y)/(dx^2)(1)-(dy)/(dx)(9)=0

\frac{d ^{2} y}{d x ^{2}} (1) - \frac{d y}{d x} (9) = 0

y = c_{1} e^{9 x} + c_{2}

Solution steps

\frac{d ^{2} y}{d x ^{2}} (1) - \frac{d y}{d x} (9) = 0

Solve linear ODE:

y = c_{1} e^{9 x} + c_{2}

y = c_{1} e^{9 x} + c_{2}

7 y^{^{''}} + 34 y^{^{'}} - 5 y = 0

(D^{2} - DD + D^{2}) z = 0

9 y^{^{''}} + 12 y^{^{'}} + 4 y = 0, y^{^{'}} (0) = - 1

y^{^{''}} - 5 y^{^{'}} = 0, y (0) = 7 - 7 e^{5}, y (1) = 0

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

What is the solution for (d^2y)/(dx^2)(1)-(dy)/(dx)(9)=0 ?
The solution for (d^2y)/(dx^2)(1)-(dy)/(dx)(9)=0 is y=c_{1}e^{9x}+c_{2}