de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+3y=x^3+1

Lösung

y^{^{''}} + 3 y = x^{3} + 1

Lösung

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

Schritte zur Lösung

y^{''} (x) + 3 y = x^{3} + 1

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-4y^'-4t+4=0,y(0)=2,y^'(0)=9

y^{^{''}} - 4 y^{^{'}} - 4 t + 4 = 0, y (0) = 2, y^{^{'}} (0) = 9

y^{''}-5y^'+6y=5*e^{2x}

y^{^{''}} - 5 y^{^{'}} + 6 y = 5 \cdot e^{2 x}

2(d^2y)/(dx^2)+4(dy)/(dx)-6y=14e^x

2 \frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} - 6 y = 14 e^{x}

y^{''}+2y^'+2y=10sin(2t)

y^{^{''}} + 2 y^{^{'}} + 2 y = 10 sin (2 t)

y^{^{''}} + 2 y^{^{'}} = 4 x