de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-4y^'+53y=5e^{2t}cos(7t)

Lösung

y^{^{''}} - 4 y^{^{'}} + 53 y = 5 e^{2 t} cos (7 t)

Lösung

y = e^{2 t} (c_{1} cos (7 t) + c_{2} sin (7 t)) + \frac{5 e ^{2 t} t sin ( 7 t )}{14}

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) + 53 y = 5 e^{2 t} cos (7 t)

Solve linear ODE:

y = e^{2 t} (c_{1} cos (7 t) + c_{2} sin (7 t)) + \frac{5 e ^{2 t} t sin ( 7 t )}{14}

y = e^{2 t} (c_{1} cos (7 t) + c_{2} sin (7 t)) + \frac{5 e ^{2 t} t sin ( 7 t )}{14}

Graph

Beliebte Beispiele

derivative cos^{10}(sin(7x))

d er i v a t i v e cos^{10} (sin (7 x))

y = 4 x (3 x - 2)^{5}

derivative sin(5xln(x))(sin^2(5x))

d er i v a t i v e sin (5 x ln (x)) (sin^{2} (5 x))

derivative \sqrt[3]{x^2-3}

d er i v a t i v e 3 x^{2} - 3

integral from 5 to 7 of x

\int_{5}^{7} x d x