What is the solution for (d^2y)/(dx^2)(1)-(dy)/(dx)(7)+10y=0 ?

The solution for (d^2y)/(dx^2)(1)-(dy)/(dx)(7)+10y=0 is y=c_{1}e^{5x}+c_{2}e^{2x}

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(d^2y)/(dx^2)(1)-(dy)/(dx)(7)+10y=0

\frac{d ^{2} y}{d x ^{2}} (1) - \frac{d y}{d x} (7) + 10 y = 0

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} (1) - \frac{d y}{d x} (7) + 10 y = 0

Solve linear ODE:

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

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

y^{^{''}} + 4 y^{^{'}} + 20 y = 0, y (π) = 8, y (0) = 1

y^{^{''}} - 2 y^{^{'}} - 8 y = 0, y (0) = - 4, y^{^{'}} (0) = 14

9 \frac{d ^{2} y}{d x ^{2}} + 6 \frac{d y}{d x} + y = 0

u^{''} - u^{'} - 2 H (t) = 0

y^{^{''}} + 0.25 y^{^{'}} + y = 0

What is the solution for (d^2y)/(dx^2)(1)-(dy)/(dx)(7)+10y=0 ?
The solution for (d^2y)/(dx^2)(1)-(dy)/(dx)(7)+10y=0 is y=c_{1}e^{5x}+c_{2}e^{2x}