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Beliebt Rechnen >

y^'+2x^2y=(2x^2)/(sqrt(y))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

y^'+tan(3x)y=0,y(0)=5

y^{^{'}} + tan (3 x) y = 0, y (0) = 5

2xyy^'-2x^2+1=0!

2 x y y^{^{'}} - 2 x^{2} + 1 = 0!

(dy)/(dx)=xsqrt(y),y\ne 0

\frac{d y}{d x} = x y, y \neq = 0

y^'=(20-0.06y)/(0.02)

y^{^{'}} = \frac{20 - 0.06 y}{0.02}

y^'=(x^4+7)(cos(y))^2

y^{^{'}} = (x^{4} + 7) (cos (y))^{2}