de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+4y=3cos(2t)-5sin(2t)

Lösung

y^{^{''}} + 4 y = 3 cos (2 t) - 5 sin (2 t)

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{3 t sin ( 2 t )}{4} + \frac{5 t cos ( 2 t )}{4}

Schritte zur Lösung

y^{''} (t) + 4 y = 3 cos (2 t) - 5 sin (2 t)

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{3 t sin ( 2 t )}{4} + \frac{5 t cos ( 2 t )}{4}

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{3 t sin ( 2 t )}{4} + \frac{5 t cos ( 2 t )}{4}

Graph

Beliebte Beispiele

tangent y=x^4-4x^2+10,\at x=1

t an g e n t y = x^{4} - 4 x^{2} + 10, at x = 1

derivative of e^{-x}cos(2x)

\frac{d}{d x} (e^{- x} cos (2 x))

integral from 0 to 1 of x/(sqrt(1-x^2))

\int_{0}^{1} \frac{x}{1 - x ^{2}} d x

(xdy)/(dx)=5xe^x-y+6x^2

\frac{x d y}{d x} = 5 x e^{x} - y + 6 x^{2}

integral of (x^5-4x)^2(5x^4-4)

\int (x^{5} - 4 x)^{2} (5 x^{4} - 4) d x