de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+y=3sin(2t)+2tcos(2t)

Lösung

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

Lösung

y = c_{1} cos (t) + c_{2} sin (t) - \frac{2 t cos ( 2 t )}{3} - \frac{1}{9} sin (2 t)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) - \frac{2 t cos ( 2 t )}{3} - \frac{1}{9} sin (2 t)

y = c_{1} cos (t) + c_{2} sin (t) - \frac{2 t cos ( 2 t )}{3} - \frac{1}{9} sin (2 t)

Graph

Beliebte Beispiele

y^{''}-16y=sinh(4x)

y^{^{''}} - 16 y = sinh (4 x)

y^{''}+2y^'+2y=e^{-x}cos(x)+xe^{-x}

y^{^{''}} + 2 y^{^{'}} + 2 y = e^{- x} cos (x) + x e^{- x}

x^{''}+4x=sin^2(2t)

x^{^{''}} + 4 x = sin^{2} (2 t)

y^{''}+3y^'+6y=4e^{-3t}sin(t)

y^{^{''}} + 3 y^{^{'}} + 6 y = 4 e^{- 3 t} sin (t)

y^{'''}-2y^{''}-y^'+2y=e^{5t}

y^{^{'''}} - 2 y^{^{''}} - y^{^{'}} + 2 y = e^{5 t}