(dy)/(dx)=5x^2y-9xy

Lösung

\frac{d y}{d x} = 5 x^{2} y - 9 x y

y = e^{\frac{5 x ^{3}}{3} - \frac{9 x ^{2}}{2} + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} = 5 x^{2} y - 9 x y

Solve separable ODE:

y = e^{\frac{5 x ^{3}}{3} - \frac{9 x ^{2}}{2} + c_{1}}

y = e^{\frac{5 x ^{3}}{3} - \frac{9 x ^{2}}{2} + c_{1}}

x y^{^{'}} + y - 6 = 0

x^{^{'}} = (x)^{22} (ln (t) + (10) + t e^{t})

y^{^{'}} = x y - x - y + 1

y^{^{'}} + \frac{1}{2} y = \frac{5}{2}

f (x) (g (x)) f^{^{'}} (x) = 1 + (f (x))^{2}