de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-3y^'=sin(4t)

Lösung

y^{^{''}} - 3 y^{^{'}} = sin (4 t)

Lösung

y = c_{1} e^{3 t} + c_{2} - \frac{1}{25} sin (4 t) + \frac{3}{100} cos (4 t)

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) = sin (4 t)

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} - \frac{1}{25} sin (4 t) + \frac{3}{100} cos (4 t)

y = c_{1} e^{3 t} + c_{2} - \frac{1}{25} sin (4 t) + \frac{3}{100} cos (4 t)

Graph

Beliebte Beispiele

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

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

y^{''}+ay^'+by=x,y(0)=0,y^'(0)=0

y^{^{''}} + a y^{^{'}} + b y = x, y (0) = 0, y^{^{'}} (0) = 0

(D^2-4D+3)y=20cos(x)

(D^{2} - 4 D + 3) y = 20 cos (x)

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

y^{^{''}} + (- 4) y^{^{'}} + 4 y = \frac{2 e ^{2}}{x}

y^{''}-9y=20sin(x)+3x^2

y^{^{''}} - 9 y = 20 sin (x) + 3 x^{2}