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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

y^'-e^{-y}sec^2(x)=0

y^{^{'}} - e^{- y} sec^{2} (x) = 0

(dy)/(dx)=(1+2y-1)^2

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

d/(dt)((x)(t))=2x

\frac{d}{d t} ((x) (t)) = 2 x

(1+cos^2(x))y^'+2ycos(x)sin(x)=0

(1 + cos^{2} (x)) y^{^{'}} + 2 y cos (x) sin (x) = 0

y^{^{'}} = 8 x y^{3}