What is the solution for 4(d^2y)/(dx^2)+3(dy)/(dx)-10y=0 ?

The solution for 4(d^2y)/(dx^2)+3(dy)/(dx)-10y=0 is y=c_{1}e^{(5x)/4}+c_{2}e^{-2x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

y = c_{1} e^{\frac{5 x}{4}} + c_{2} e^{- 2 x}

Solution steps

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

Solve linear ODE:

y = c_{1} e^{\frac{5 x}{4}} + c_{2} e^{- 2 x}

y = c_{1} e^{\frac{5 x}{4}} + c_{2} e^{- 2 x}

(4 D^{2} - 4 D + 5) y = 0

y^{^{''}} + 6 y^{^{'}} + 10 y = 0, y (0) = 2, y^{^{'}} (0) = 1

y^{^{''}} - 8 y^{^{'}} + 17 y = 0, y (0) = 2, y^{^{'}} (0) = 10

y^{^{''}} - y^{^{'}} - 2 y = 0, y (0) = α, y^{^{'}} (0) = 2

y^{^{''}} + 4 y^{^{'}} + 16 y = 0, y (0) = \frac{1}{2}, y^{^{'}} (0) = 0

What is the solution for 4(d^2y)/(dx^2)+3(dy)/(dx)-10y=0 ?
The solution for 4(d^2y)/(dx^2)+3(dy)/(dx)-10y=0 is y=c_{1}e^{(5x)/4}+c_{2}e^{-2x}