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Beliebt Rechnen >

y^'=12xy-2x,y(0)=17

Lösung

y^{^{'}} = 12 x y - 2 x, y (0) = 17

Lösung

y = \frac{101 e ^{6 x^{2}}}{6} + \frac{1}{6}

Schritte zur Lösung

y^{'} (x) = 12 x y - 2 x

Solve separable ODE:

y = \frac{101 e ^{6 x^{2}}}{6} + \frac{1}{6}

y = \frac{101 e ^{6 x^{2}}}{6} + \frac{1}{6}

Graph

Beliebte Beispiele

(dy)/(dt)+2y=3,y(0)=1

\frac{d y}{d t} + 2 y = 3, y (0) = 1

(dy)/(dx)+ycos(x)=6cos(x)

\frac{d y}{d x} + y cos (x) = 6 cos (x)

(x^2)/(y^2-3)(dy)/(dx)= 1/(2y)

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

sin(x)cos(y)dx+cos(x)sin(y)dy=0

sin (x) cos (y) d x + cos (x) sin (y) d y = 0

3x^2y^2(dy)/(dx)=2x-1

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