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Beliebt Rechnen >

t*(dy)/(dt)=t^3+22t^3y

Lösung

t \cdot \frac{d y}{d t} = t^{3} + 22 t^{3} y

Lösung

y = \frac{e ^{\frac{22 t ^{3} + c _{1}}{3}}}{22} - \frac{1}{22}

Schritte zur Lösung

t \cdot \frac{d y}{d t} = t^{3} + 22 t^{3} y

Solve separable ODE:

y = \frac{e ^{\frac{22 t ^{3} + c _{1}}{3}}}{22} - \frac{1}{22}

y = \frac{e ^{\frac{22 t ^{3} + c _{1}}{3}}}{22} - \frac{1}{22}

Graph

Beliebte Beispiele

integral of 1/(4x-x^2)

\int \frac{1}{4 x - x ^{2}} d x

derivative of arctan(2x+1)

\frac{d}{d x} (arctan (2 x + 1))

derivative of x^2-4x+9

\frac{d}{d x} (x^{2} - 4 x + 9)

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

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

(dy)/(dx)=13x^{12}y

\frac{d y}{d x} = 13 x^{12} y