(dy)/(dx)+y/(x-2)=5(x-2)y^{1/2}

Lösung

\frac{d y}{d x} + \frac{y}{x - 2} = 5 (x - 2) y^{\frac{1}{2}}

y = x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 2 c_{1} (x - 2)^{\frac{3}{2}} + \frac{c _{1}^{2}}{x - 2} + 16

Schritte zur Lösung

\frac{d y}{d x} + \frac{y}{x - 2} = 5 (x - 2) y^{\frac{1}{2}}

Solve Bernoulli ODE:

y = x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 2 c_{1} (x - 2)^{\frac{3}{2}} + \frac{c _{1}^{2}}{x - 2} + 16

y = x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 2 c_{1} (x - 2)^{\frac{3}{2}} + \frac{c _{1}^{2}}{x - 2} + 16

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