de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-y^'+y=12sin(t)-4e^{2t}

Lösung

y^{^{''}} - y^{^{'}} + y = 12 sin (t) - 4 e^{2 t}

Lösung

y = e^{\frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})) + 12 cos (t) - \frac{4}{3} e^{2 t}

Schritte zur Lösung

y^{''} (t) - y^{'} (t) + y = 12 sin (t) - 4 e^{2 t}

Solve linear ODE:

y = e^{\frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})) + 12 cos (t) - \frac{4}{3} e^{2 t}

y = e^{\frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})) + 12 cos (t) - \frac{4}{3} e^{2 t}

Graph

Beliebte Beispiele

y^{''}-y^'-2y=1+t

y^{^{''}} - y^{^{'}} - 2 y = 1 + t

y^{''}-y^'-2y=xe^xcos(x)

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

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

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

y^{''}+2y^'+y=2x

y^{^{''}} + 2 y^{^{'}} + y = 2 x

x^{''}+8x^'+16x=4sin(4t)

x^{^{''}} + 8 x^{^{'}} + 16 x = 4 sin (4 t)