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Beliebt Rechnen >

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

Lösung

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

Lösung

y = - 2 ln (1 + x^{2}) + 4

Schritte zur Lösung

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

Solve separable ODE:

y = - 2 ln (1 + x^{2}) + 4

y = - 2 ln (1 + x^{2}) + 4

Graph

Beliebte Beispiele

(dy)/(dx)y=x^{4x}

\frac{d y}{d x} y = x^{4 x}

(dy)/(dx)y=cosh^2(3x)-sinh(x^2)

\frac{d y}{d x} y = cosh^{2} (3 x) - sinh (x^{2})

(dy)/(dx)=(3+12x)/(xy^2),x>0

\frac{d y}{d x} = \frac{3 + 12 x}{x y ^{2}}, x > 0

y^'-((t+1)y)/(t^2)= 1/t+1/(t^2)

y^{^{'}} - \frac{( t + 1 ) y}{t ^{2}} = \frac{1}{t} + \frac{1}{t ^{2}}

y^'=-(-(x^2)/(3y))

y^{^{'}} = - (- \frac{x ^{2}}{3 y})