What is the solution for (d^2y)/(dx^2)-10(dy)/(dx)+26y=0 ?

The solution for (d^2y)/(dx^2)-10(dy)/(dx)+26y=0 is y=e^{5x}(c_{1}cos(x)+c_{2}sin(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(d^2y)/(dx^2)-10(dy)/(dx)+26y=0

\frac{d ^{2} y}{d x ^{2}} - 10 \frac{d y}{d x} + 26 y = 0

y = e^{5 x} (c_{1} cos (x) + c_{2} sin (x))

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 10 \frac{d y}{d x} + 26 y = 0

Solve linear ODE:

y = e^{5 x} (c_{1} cos (x) + c_{2} sin (x))

y = e^{5 x} (c_{1} cos (x) + c_{2} sin (x))

What is the solution for (d^2y)/(dx^2)-10(dy)/(dx)+26y=0 ?
The solution for (d^2y)/(dx^2)-10(dy)/(dx)+26y=0 is y=e^{5x}(c_{1}cos(x)+c_{2}sin(x))