What is the solution for (d^2y)/(dx^2)-10(dy)/(dx)-3y=0 ?

The solution for (d^2y)/(dx^2)-10(dy)/(dx)-3y=0 is y=c_{1}e^{(5+2sqrt(7))x}+c_{2}e^{(5-2sqrt(7))x}

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(d^2y)/(dx^2)-10(dy)/(dx)-3y=0

\frac{d ^{2} y}{d x ^{2}} - 10 \frac{d y}{d x} - 3 y = 0

y = c_{1} e^{(5 + 27) x} + c_{2} e^{(5 - 27) x}

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 10 \frac{d y}{d x} - 3 y = 0

Solve linear ODE:

y = c_{1} e^{(5 + 27) x} + c_{2} e^{(5 - 27) x}

y = c_{1} e^{(5 + 27) x} + c_{2} e^{(5 - 27) x}

x \to 4 lim ([4 f (8) g (- 1)])

\int \frac{1}{y ^{2} - 2} d y

2 (t - 2)^{2} + 6 (t - 2) + 6

\int \frac{1}{4 x ^{2} - 16} d x

\int \frac{2}{x ^{2} - 4 x + 13} d x

What is the solution for (d^2y)/(dx^2)-10(dy)/(dx)-3y=0 ?
The solution for (d^2y)/(dx^2)-10(dy)/(dx)-3y=0 is y=c_{1}e^{(5+2sqrt(7))x}+c_{2}e^{(5-2sqrt(7))x}