What is the solution for 5(d^2y)/(dx^2)+(dy)/(dx)-6y=0 ?

The solution for 5(d^2y)/(dx^2)+(dy)/(dx)-6y=0 is y=c_{1}e^x+c_{2}e^{-(6x)/5}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5(d^2y)/(dx^2)+(dy)/(dx)-6y=0

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

y = c_{1} e^{x} + c_{2} e^{- \frac{6 x}{5}}

Solution steps

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- \frac{6 x}{5}}

y = c_{1} e^{x} + c_{2} e^{- \frac{6 x}{5}}

- c y^{^{''}} + ab y^{^{'}} = 0, y (0) = 1, y (1.2) = 0

y^{^{''}} - 729 y = 0

5 y^{^{''}} + 3 y^{^{'}} + 6 y = 0

6 y^{^{''}} + 33 y = 0, y (0) = 3, y^{^{'}} (0) = 7

\frac{d ^{2} y}{d x ^{2}} = - a y

What is the solution for 5(d^2y)/(dx^2)+(dy)/(dx)-6y=0 ?
The solution for 5(d^2y)/(dx^2)+(dy)/(dx)-6y=0 is y=c_{1}e^x+c_{2}e^{-(6x)/5}