What is the solution for 3(d^2y)/(dx^2)-2(dy)/(dx)-8y=0 ?

The solution for 3(d^2y)/(dx^2)-2(dy)/(dx)-8y=0 is y=c_{1}e^{2x}+c_{2}e^{-(4x)/3}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3(d^2y)/(dx^2)-2(dy)/(dx)-8y=0

3 \frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} - 8 y = 0

y = c_{1} e^{2 x} + c_{2} e^{- \frac{4 x}{3}}

Solution steps

3 \frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} - 8 y = 0

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- \frac{4 x}{3}}

y = c_{1} e^{2 x} + c_{2} e^{- \frac{4 x}{3}}

x^{^{''}} - 6 x^{^{'}} + 10 x = 0

625 y^{^{''}} - 81 y = 0, y (0) = 9, y^{^{'}} (0) = 6

(D^{3} - D^{2} - 4 D + 4) y = 0

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y^{0} = 0, y^{^{'}} 0 = 1

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

What is the solution for 3(d^2y)/(dx^2)-2(dy)/(dx)-8y=0 ?
The solution for 3(d^2y)/(dx^2)-2(dy)/(dx)-8y=0 is y=c_{1}e^{2x}+c_{2}e^{-(4x)/3}