de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+25y=3x,y(0)=1,y^'(0)=5

Lösung

y^{^{''}} + 25 y = 3 x, y (0) = 1, y^{^{'}} (0) = 5

Lösung

y = cos (5 x) + \frac{122}{125} sin (5 x) + \frac{3 x}{25}

Schritte zur Lösung

y^{''} (x) + 25 y = 3 x

Solve linear ODE:

y = cos (5 x) + \frac{122}{125} sin (5 x) + \frac{3 x}{25}

y = cos (5 x) + \frac{122}{125} sin (5 x) + \frac{3 x}{25}

Graph

Beliebte Beispiele

y^{'''}+7y^{''}+15y^'+9=1

y^{^{'''}} + 7 y^{^{''}} + 15 y^{^{'}} + 9 = 1

x^{''}+9x=8sin(3t)

x^{^{''}} + 9 x = 8 sin (3 t)

(d^2y)/(dx^2)-4y=10e^{3x}

\frac{d ^{2} y}{d x ^{2}} - 4 y = 10 e^{3 x}

y^{''}+8y^'+17y=17x^2-x+28

y^{^{''}} + 8 y^{^{'}} + 17 y = 17 x^{2} - x + 28

(d^2y)/(dx^2)+4(dy)/(dx)+3y=e^{-2x}

\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} + 3 y = e^{- 2 x}