7sqrt(xy)(dy)/(dx)=3

Lösung

7 x y \frac{d y}{d x} = 3

y = 3 \frac{81 x}{49} + \frac{27 c _{1} x}{7} + \frac{9 c _{1}^{2}}{4}

Schritte zur Lösung

7 x y \frac{d y}{d x} = 3

Solve separable ODE:

y = 3 \frac{81 x}{49} + \frac{27 c _{1} x}{7} + \frac{9 c _{1}^{2}}{4}

y = 3 \frac{81 x}{49} + \frac{27 c _{1} x}{7} + \frac{9 c _{1}^{2}}{4}

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

y^{^{'}} = (\frac{2 y + 3}{4 t + 5})^{2}

x \frac{d y}{d x} = e^{y + x}, x > 0

y^{^{'}} - \frac{3 y}{x} = 0

(1 - x) y^{^{'}} = 6 y