en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}-y=-4t+3

Solution

y^{^{''}} - y = - 4 t + 3

Solution

y = c_{1} e^{t} + c_{2} e^{- t} + 4 t - 3

Solution steps

y^{''} (t) - y = - 4 t + 3

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} + 4 t - 3

y = c_{1} e^{t} + c_{2} e^{- t} + 4 t - 3

Graph

Popular Examples

x^{''}+x=e^{-2t}sin(t)

x^{^{''}} + x = e^{- 2 t} sin (t)

y^{''}+6y^'+9y=2e^{-2x}+sin(2x)

y^{^{''}} + 6 y^{^{'}} + 9 y = 2 e^{- 2 x} + sin (2 x)

y^{''}+49y=cos(7t),y(0)=-5,y^'(0)=-56

y^{^{''}} + 49 y = cos (7 t), y (0) = - 5, y^{^{'}} (0) = - 56

y^{''}+5y+4=0,y(0)=1,y^'(0)=1

y^{^{''}} + 5 y + 4 = 0, y (0) = 1, y^{^{'}} (0) = 1

3y^'+2y^{''}=-cos(t)

3 y^{^{'}} + 2 y^{^{''}} = - cos (t)

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-y=-4t+3 ?
The solution for y^{''}-y=-4t+3 is y=c_{1}e^t+c_{2}e^{-t}+4t-3