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Beliebt Rechnen >

(dy)/(dx)+9x^2y=2x^2,y(0)=1

Lösung

\frac{d y}{d x} + 9 x^{2} y = 2 x^{2}, y (0) = 1

Lösung

y = \frac{7 e ^{- 3 x^{3}}}{9} + \frac{2}{9}

Schritte zur Lösung

\frac{d y}{d x} + 9 x^{2} y = 2 x^{2}

Solve separable ODE:

y = \frac{7 e ^{- 3 x^{3}}}{9} + \frac{2}{9}

y = \frac{7 e ^{- 3 x^{3}}}{9} + \frac{2}{9}

Graph

Beliebte Beispiele

y^'=8x^3e^{-2y},y(1)=0

y^{^{'}} = 8 x^{3} e^{- 2 y}, y (1) = 0

(dy)/(dx)=e^{-y},y(0)=0

\frac{d y}{d x} = e^{- y}, y (0) = 0

y(dy)/(dx)=3x(y^2+6)^8

y \frac{d y}{d x} = 3 x (y^{2} + 6)^{8}

2 t \frac{d x}{d t} = 3 x

(dy)/(dt)=15*y+11

\frac{d y}{d t} = 15 \cdot y + 11