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Beliebt Rechnen >

5t*(dy)/(dt)+3y=sqrt(t)

Lösung

5 t \cdot \frac{d y}{d t} + 3 y = t

Lösung

y = \frac{2 t ^{\frac{1}{2}}}{11} + \frac{c _{1}}{t ^{\frac{3}{5}}}

Schritte zur Lösung

5 t \cdot \frac{d y}{d t} + 3 y = t

Solve linear ODE:

y = \frac{2 t ^{\frac{1}{2}}}{11} + \frac{c _{1}}{t ^{\frac{3}{5}}}

y = \frac{2 t ^{\frac{1}{2}}}{11} + \frac{c _{1}}{t ^{\frac{3}{5}}}

Graph

Beliebte Beispiele

(dx)/(dt)=((2t^2+x^2))/(tx)

\frac{d x}{d t} = \frac{( 2 t ^{2} + x ^{2} )}{t x}

y^{''}-2y^'+5y=e^xsin(x)

y^{^{''}} - 2 y^{^{'}} + 5 y = e^{x} sin (x)

integral from 0 to infinity of 1

\int_{0}^{\infty} 1 d x

integral of e^{-st}-te^{-st}

\int e^{- s t} - t e^{- s t} d t

fläche y=x^3-x,y=3x

a re a y = x^{3} - x, y = 3 x