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Beliebt Rechnen >

(x+3xy^2)dx+e^{x^2}ydy=0

Lösung

(x + 3 x y^{2}) d x + e^{x^{2}} y d y = 0

Lösung

y = \frac{e ^{3 e^{- x^{2}} + c_{1}} - 1}{3}, y = - \frac{e ^{3 e^{- x^{2}} + c_{1}} - 1}{3}

Schritte zur Lösung

(x + 3 x y^{2}) d x + e^{x^{2}} y d y = 0

Solve separable ODE:

y = \frac{e ^{3 e^{- x^{2}} + c_{1}} - 1}{3}, y = - \frac{e ^{3 e^{- x^{2}} + c_{1}} - 1}{3}

y = \frac{e ^{3 e^{- x^{2}} + c_{1}} - 1}{3}, y = - \frac{e ^{3 e^{- x^{2}} + c_{1}} - 1}{3}

Graph

Beliebte Beispiele

d/(dθ)(r(θ))r(θ)=5-θ^3sin(θ)

\frac{d}{d θ} (r (θ)) r (θ) = 5 - θ^{3} sin (θ)

y^'=e^{(2+1)x+(1+2)y}

y^{^{'}} = e^{(2 + 1) x + (1 + 2) y}

0.001*y^'-y/(0.001)=0

0.001 \cdot y^{^{'}} - \frac{y}{0.001} = 0

y(x^2+3)dy=2x(y^2-1)dx

y (x^{2} + 3) d y = 2 x (y^{2} - 1) d x

(dp)/(dt)=k(600-p)

\frac{d p}{d t} = k (600 - p)