What is the solution for (d^2y)/(dx^2)-10(dy)/(dx)+34y=0 ?

The solution for (d^2y)/(dx^2)-10(dy)/(dx)+34y=0 is y=e^{5x}(c_{1}cos(3x)+c_{2}sin(3x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(d^2y)/(dx^2)-10(dy)/(dx)+34y=0

\frac{d ^{2} y}{d x ^{2}} - 10 \frac{d y}{d x} + 34 y = 0

y = e^{5 x} (c_{1} cos (3 x) + c_{2} sin (3 x))

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 10 \frac{d y}{d x} + 34 y = 0

Solve linear ODE:

y = e^{5 x} (c_{1} cos (3 x) + c_{2} sin (3 x))

y = e^{5 x} (c_{1} cos (3 x) + c_{2} sin (3 x))

y^{^{''}} + 10 y^{^{'}} + 25 y = 0, y (0) = - 4, y^{^{'}} (0) = 18

6 y^{^{''}} + 108 y^{^{'}} + 486 y = 0

y^{^{''}} - 6 y^{^{'}} + 8 y = 0, y (0) = \frac{3}{2}, y^{^{'}} (0) = \frac{5}{2}

y^{^{'''}} + 19 y^{^{''}} + 93 y^{^{'}} + 75 y = 0

2 y^{^{'''}} - 5 y^{^{''}} - y^{^{'}} + 6 y = 0

What is the solution for (d^2y)/(dx^2)-10(dy)/(dx)+34y=0 ?
The solution for (d^2y)/(dx^2)-10(dy)/(dx)+34y=0 is y=e^{5x}(c_{1}cos(3x)+c_{2}sin(3x))