de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+3y=5t^4,y(0)=0,y^'(0)=0

Lösung

y^{^{''}} + 3 y = 5 t^{4}, y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = \frac{5 t ^{4}}{3} - \frac{20 t ^{2}}{3} - \frac{40}{9} cos (3 t) + \frac{40}{9}

Schritte zur Lösung

y^{''} (t) + 3 y = 5 t^{4}

Solve linear ODE:

y = \frac{5 t ^{4}}{3} - \frac{20 t ^{2}}{3} - \frac{40}{9} cos (3 t) + \frac{40}{9}

y = \frac{5 t ^{4}}{3} - \frac{20 t ^{2}}{3} - \frac{40}{9} cos (3 t) + \frac{40}{9}

Graph

Beliebte Beispiele

y^{''}-10y^'+24=0

y^{^{''}} - 10 y^{^{'}} + 24 = 0

y^{'''}+3y^{''}-4=0

y^{^{'''}} + 3 y^{^{''}} - 4 = 0

2y^{''}+8y^'-y=8

2 y^{^{''}} + 8 y^{^{'}} - y = 8

(d^2y)/(dx^2)-5(dy)/(dx)+6y=pix^2+3

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 6 y = π x^{2} + 3

y^{''}+y^'-2y=9e^x-2

y^{^{''}} + y^{^{'}} - 2 y = 9 e^{x} - 2