de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-y^'=e^xsin(x)

Lösung

y^{^{''}} - y^{^{'}} = e^{x} sin (x)

Lösung

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

Schritte zur Lösung

y^{''} (x) - y^{'} (x) = e^{x} sin (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+2y^'-3y=cos(2x)

y^{^{''}} + 2 y^{^{'}} - 3 y = cos (2 x)

y^{'''}-y^{''}-4y^'+4y=20e^{3t}

y^{^{'''}} - y^{^{''}} - 4 y^{^{'}} + 4 y = 20 e^{3 t}

y^{^{''}} - 4 y = 12

y^{''}+y=2sin(x)

y^{^{''}} + y = 2 sin (x)

y^{''}+y^'-2y=4,y(0)=2,y^'(0)=1

y^{^{''}} + y^{^{'}} - 2 y = 4, y (0) = 2, y^{^{'}} (0) = 1