de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-2y^'+2y=e^tsin(t)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+7y+12y=t^2e^{-3t}

y^{^{''}} + 7 y + 12 y = t^{2} e^{- 3 t}

5y^{''}+88y^'+240y=82sin(6x)

5 y^{^{''}} + 88 y^{^{'}} + 240 y = 82 sin (6 x)

(d^2-4)y=e^{-3x}sin(e^{-x})

(d^{2} - 4) y = e^{- 3 x} sin (e^{- x})

(D^2-6D+9)y=1+x+x^2

(D^{2} - 6 D + 9) y = 1 + x + x^{2}

y^{''}+3y^'+13y=52,y(0)=2,y^'(0)=1

y^{^{''}} + 3 y^{^{'}} + 13 y = 52, y (0) = 2, y^{^{'}} (0) = 1