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Beliebt Rechnen >

(dy)/(dx)y=(x+7)(2x+9)

Lösung

\frac{d y}{d x} y = (x + 7) (2 x + 9)

Lösung

y = \frac{4 x ^{3}}{3} + 23 x^{2} + 126 x + c_{1}, y = - \frac{4 x ^{3}}{3} + 23 x^{2} + 126 x + c_{1}

Schritte zur Lösung

\frac{d y}{d x} y = (x + 7) (2 x + 9)

Solve separable ODE:

y = \frac{4 x ^{3}}{3} + 23 x^{2} + 126 x + c_{1}, y = - \frac{4 x ^{3}}{3} + 23 x^{2} + 126 x + c_{1}

y = \frac{4 x ^{3}}{3} + 23 x^{2} + 126 x + c_{1}, y = - \frac{4 x ^{3}}{3} + 23 x^{2} + 126 x + c_{1}

Graph

Beliebte Beispiele

y^'(p)= 1/9 y(p)(2y(p)-1)(p-3)

y^{^{'}} (p) = \frac{1}{9} y (p) (2 y (p) - 1) (p - 3)

2yy^'=15t^2,y(0)=6

2 y y^{^{'}} = 15 t^{2}, y (0) = 6

(dy)/(dx)+(dy)/(dx)+y=0

\frac{d y}{d x} + \frac{d y}{d x} + y = 0

(dy)/(dx)x*cos(y)=1

\frac{d y}{d x} x \cdot cos (y) = 1

x(dy)/(dx)-y=5x^9y

x \frac{d y}{d x} - y = 5 x^{9} y