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Beliebt Rechnen >

(3t^2+5)y^'=3ty,y(0)=8

Lösung

(3 t^{2} + 5) y^{^{'}} = 3 t y, y (0) = 8

Lösung

y = \frac{8 ( 3 t ^{2} + 5 ) ^{\frac{1}{2}}}{5}

Schritte zur Lösung

(3 t^{2} + 5) y^{'} (t) = 3 t y

Solve separable ODE:

y = \frac{8 ( 3 t ^{2} + 5 ) ^{\frac{1}{2}}}{5}

y = \frac{8 ( 3 t ^{2} + 5 ) ^{\frac{1}{2}}}{5}

Graph

Beliebte Beispiele

(dy)/(dx)=(x^3)/(y^3)

\frac{d y}{d x} = \frac{x ^{3}}{y ^{3}}

y^{^{'}} = e^{4 y + 7 t}

(dy)/(dx)=-ln|x|y

\frac{d y}{d x} = - ln ∣ x ∣ y

ln(y^6)(dy)/(dx)=x^6y,y(1)=e^2

ln (y^{6}) \frac{d y}{d x} = x^{6} y, y (1) = e^{2}

(dy)/(dx)=e^{-y-x}

\frac{d y}{d x} = e^{- y - x}