de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

2y^{''}-4y^'+3y=9t^2+10

Lösung

2 y^{^{''}} - 4 y^{^{'}} + 3 y = 9 t^{2} + 10

Lösung

y = e^{t} (c_{1} cos (\frac{t}{2}) + c_{2} sin (\frac{t}{2})) + 3 t^{2} + 8 t + 10

Schritte zur Lösung

2 y^{''} (t) - 4 y^{'} (t) + 3 y = 9 t^{2} + 10

Solve linear ODE:

y = e^{t} (c_{1} cos (\frac{t}{2}) + c_{2} sin (\frac{t}{2})) + 3 t^{2} + 8 t + 10

y = e^{t} (c_{1} cos (\frac{t}{2}) + c_{2} sin (\frac{t}{2})) + 3 t^{2} + 8 t + 10

Graph

Beliebte Beispiele

derivative of 3^{3x+1}

\frac{d}{d x} (3^{3 x + 1})

integral of x^6y^2

\int x^{6} y^{2}

derivative x^2+7x-4

d er i v a t i v e x^{2} + 7 x - 4

limit as x approaches-infinity of 6x^4

x \to - \infty lim (6 x^{4})

limit as x approaches infinity of-5/4

x \to \infty lim (- \frac{5}{4})