de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (x) + c_{2} sin (x) - \frac{x cos ( x )}{2} - \frac{1}{3} sin (2 x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) - \frac{x cos ( x )}{2} - \frac{1}{3} sin (2 x)

y = c_{1} cos (x) + c_{2} sin (x) - \frac{x cos ( x )}{2} - \frac{1}{3} sin (2 x)

Graph

Beliebte Beispiele

y^{''}+8y^'+16y=x

y^{^{''}} + 8 y^{^{'}} + 16 y = x

5y^{''}+6y^'+25y=3cos(2t)

5 y^{^{''}} + 6 y^{^{'}} + 25 y = 3 cos (2 t)

y^{''}-6y^'+34y=25e^{3t},y(0)=1

y^{^{''}} - 6 y^{^{'}} + 34 y = 25 e^{3 t}, y (0) = 1

(D^2-9D+18)y=e^{e^{-3x}}

(D^{2} - 9 D + 18) y = e^{e^{- 3 x}}

2y^{''}+y^'+3y=33cos(3t)-22sin(3t)

2 y^{^{''}} + y^{^{'}} + 3 y = 33 cos (3 t) - 22 sin (3 t)