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Beliebt Rechnen >

y^'=xe^{x^2-y}

Lösung

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

Lösung

y = ln (\frac{1}{2} e^{x^{2}} + c_{1})

Schritte zur Lösung

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

Solve separable ODE:

y = ln (\frac{1}{2} e^{x^{2}} + c_{1})

y = ln (\frac{1}{2} e^{x^{2}} + c_{1})

Graph

Beliebte Beispiele

y^'=((3x^6e^{y/x}+x^4y^2))/(x^5y)

y^{^{'}} = \frac{( 3 x ^{6} e ^{\frac{y}{x}} + x ^{4} y ^{2} )}{x ^{5} y}

(dy)/(dt)=t\sqrt[3]{y}

\frac{d y}{d t} = t 3 y

xy^'=y+x^2e^{2x}

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

integral from 0 to pi of (sin^2(x))

\int_{0}^{π} (sin^{2} (x)) d x

integral of (4x+1)^2e^{2x}

\int (4 x + 1)^{2} e^{2 x} d x