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Beliebt Rechnen >

e^x(dy)/(dx)=(x+xy^2)

Lösung

e^{x} \frac{d y}{d x} = (x + x y^{2})

Lösung

y = tan (\frac{- x - 1}{e ^{x}} + c_{1})

Schritte zur Lösung

e^{x} \frac{d y}{d x} = (x + x y^{2})

Solve separable ODE:

y = tan (\frac{- x - 1}{e ^{x}} + c_{1})

y = tan (\frac{- x - 1}{e ^{x}} + c_{1})

Graph

Beliebte Beispiele

y^'=(2x)/(1+2y),y(3)=0

y^{^{'}} = \frac{2 x}{1 + 2 y}, y (3) = 0

(dy)/(dx)=(xy-x^3y)/(1-y)

\frac{d y}{d x} = \frac{x y - x ^{3} y}{1 - y}

xdy-ydx=0,y(1)=2

x d y - y d x = 0, y (1) = 2

(dy)/(dx)= y/x ,y(5)=20

\frac{d y}{d x} = \frac{y}{x}, y (5) = 20

(dy)/(dx)=-3/7 x^6y^5

\frac{d y}{d x} = - \frac{3}{7} x^{6} y^{5}