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Beliebt Rechnen >

(dy)/(dx)=18+30x+12y+20xy

Lösung

\frac{d y}{d x} = 18 + 30 x + 12 y + 20 x y

Lösung

y = \frac{e ^{10 x^{2} + 12 x + c_{1}}}{2} - \frac{3}{2}

Schritte zur Lösung

\frac{d y}{d x} = 18 + 30 x + 12 y + 20 x y

Solve separable ODE:

y = \frac{e ^{10 x^{2} + 12 x + c_{1}}}{2} - \frac{3}{2}

y = \frac{e ^{10 x^{2} + 12 x + c_{1}}}{2} - \frac{3}{2}

Graph

Beliebte Beispiele

y^{^{'}} + 32 \frac{y}{x} = 0

y^'=(xysin(x))/(y+1),y(0)=1

y^{^{'}} = \frac{x y sin ( x )}{y + 1}, y (0) = 1

x^{^{'}} = 1 - 3 x + x^{2}

u^'=3e^{8x-\H(x)}

u^{^{'}} = 3 e^{8 x - H (x)}

y^'=((3x^2+4x-4))/(2y-4),y(1)=3

y^{^{'}} = \frac{( 3 x ^{2} + 4 x - 4 )}{2 y - 4}, y (1) = 3