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Beliebt Rechnen >

(dy)/(dx)=-(4+3y+15)/(2+y+7)

Lösung

\frac{d y}{d x} = - \frac{4 \cdot + 3 y + 15}{2 \cdot + y + 7}

Lösung

y = \frac{8 W ( \frac{1}{8 e ^{\frac{9 x - c _{1} - 19}{8}}} )}{3} - \frac{19}{3}

Schritte zur Lösung

\frac{d y}{d x} = - \frac{4 \cdot + 3 y + 15}{2 \cdot + y + 7}

Solve separable ODE:

y = \frac{8 W ( \frac{1}{8 e ^{\frac{9 x - c _{1} - 19}{8}}} )}{3} - \frac{19}{3}

y = \frac{8 W ( \frac{1}{8 e ^{\frac{9 x - c _{1} - 19}{8}}} )}{3} - \frac{19}{3}

Beliebte Beispiele

(dy)/(dx)= y/x ,x>0

\frac{d y}{d x} = \frac{y}{x}, x > 0

(ydy)/(sqrt(1-y^2))=(dx)/((1+x^2))

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

(dy)/(dx)-4/x y=0

\frac{d y}{d x} - \frac{4}{x} y = 0

x y^{^{'}} - x^{2} y = 0

(dy)/(dt)=(2t+1)/(2y-2)

\frac{d y}{d t} = \frac{2 t + 1}{2 y - 2}