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Beliebt Rechnen >

(dy)/(dx)=xe^y,y(0)=1

Lösung

\frac{d y}{d x} = x e^{y}, y (0) = 1

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

sqrt(1-x^2)(dy)/(dx)=x+xy^2

1 - x^{2} \frac{d y}{d x} = x + x y^{2}

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

(dy)/(dx)=-5y,y=7,x=0

\frac{d y}{d x} = - 5 y, y = 7, x = 0

(dy)/(dx)+2y^2=2y

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

sqrt(x)(dy)/(dx)=e^{7y+sqrt(x)},x>0

x \frac{d y}{d x} = e^{7 y + x}, x > 0