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Beliebt Rechnen >

(x^2-3)y^'=x(y^2+16),y(2)=4

Lösung

(x^{2} - 3) y^{^{'}} = x (y^{2} + 16), y (2) = 4

Lösung

y = 4 tan (2 ln (x^{2} - 3) + \frac{π}{4})

Schritte zur Lösung

(x^{2} - 3) y^{'} (x) = x (y^{2} + 16)

Solve separable ODE:

y = 4 tan (2 ln (x^{2} - 3) + \frac{π}{4})

y = 4 tan (2 ln (x^{2} - 3) + \frac{π}{4})

Graph

Beliebte Beispiele

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

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

(dy)/(dx)=3xe^{3x+y}

\frac{d y}{d x} = 3 x e^{3 x + y}

ye^{2x}-(1+e^{2x})(dy)/(dx)=0

y e^{2 x} - (1 + e^{2 x}) \frac{d y}{d x} = 0

(dy)/(dx)+ycos(x)=8cos(x)

\frac{d y}{d x} + y cos (x) = 8 cos (x)

y^'=y-(1/1000)y^2

y^{^{'}} = y - (\frac{1}{1000}) y^{2}