de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{t} + c_{2} t e^{t} + \frac{3 3 e ^{t} t ^{2 + 3} - 5 e ^{t} t ^{2 + 3}}{2}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{t} + c_{2} t e^{t} + \frac{3 3 e ^{t} t ^{2 + 3} - 5 e ^{t} t ^{2 + 3}}{2}

y = c_{1} e^{t} + c_{2} t e^{t} + \frac{3 3 e ^{t} t ^{2 + 3} - 5 e ^{t} t ^{2 + 3}}{2}

Graph

Beliebte Beispiele

derivative of 4x^2cos(3x)

\frac{d}{d x} (4 x^{2} cos (3 x))

y^{''}-4y^'+4y=xe^{2x}

y^{^{''}} - 4 y^{^{'}} + 4 y = x e^{2 x}

derivative of (1+x+x^2^{99})

\frac{d}{d x} ((1 + x + x^{2})^{99})

(\partial)/(\partial u)((u^2+v^2)^{3/2})

\frac{\partial}{\partial u} ((u^{2} + v^{2})^{\frac{3}{2}})

limit as x approaches 4-of 1/(x-4)

x \to 4 - lim (\frac{1}{x - 4})