de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

4y^{''}-40y^'+96y=5sin(2x)

Lösung

4 y^{^{''}} - 40 y^{^{'}} + 96 y = 5 sin (2 x)

Lösung

y = c_{1} e^{6 x} + c_{2} e^{4 x} + \frac{1}{32} sin (2 x) + \frac{1}{32} cos (2 x)

Schritte zur Lösung

4 y^{''} (x) - 40 y^{'} (x) + 96 y = 5 sin (2 x)

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} e^{4 x} + \frac{1}{32} sin (2 x) + \frac{1}{32} cos (2 x)

y = c_{1} e^{6 x} + c_{2} e^{4 x} + \frac{1}{32} sin (2 x) + \frac{1}{32} cos (2 x)

Graph

Beliebte Beispiele

integral from 1 to e^2 of x^3ln(x)

\int_{1}^{e^{2}} x^{3} ln (x) d x

zusammenfügen x+(1/x)

j o in x + (\frac{1}{x})

derivative f(x)=|x^2-4|

d er i v a t i v e f (x) = x^{2} - 4

limit as x approaches-6+of 1/((x+6)^4)

x \to - 6 + lim (\frac{1}{( x + 6 ) ^{4}})

- 2 y^{2} d y = y^{3} v d v