y^2=y^'e^{2x}

Lösung

y^{2} = y^{^{'}} e^{2 x}

y = - \frac{2 e ^{2 x}}{- 1 + 2 c _{1} e ^{2 x}}

Schritte zur Lösung

y^{2} = y^{'} (x) e^{2 x}

Solve separable ODE:

y = - \frac{2 e ^{2 x}}{- 1 + 2 c _{1} e ^{2 x}}

y = - \frac{2 e ^{2 x}}{- 1 + 2 c _{1} e ^{2 x}}

y^{^{'}} + 6 y^{^{'}} + 9 y = 0

(\frac{x + 2}{x}) y^{^{'}} = (\frac{2}{x}) y

y^{^{'}} = - (\frac{1}{x}) y

(x + 4) y^{^{'}} = y + 5

y^{^{''}} = x^{5} + x^{3} - sin (x)