((2y)/x+2x)+(2ln(x)-3)((dy)/(dx))=0

Lösung

(\frac{2 y}{x} + 2 x) + (2 ln (x) - 3) (\frac{d y}{d x}) = 0

y = - \frac{x ^{2}}{2 ln ( x ) - 3} + \frac{c _{1}}{2 ln ( x ) - 3}

Schritte zur Lösung

(\frac{2 y}{x} + 2 x) + (2 ln (x) - 3) (\frac{d y}{d x}) = 0

Solve linear ODE:

y = - \frac{x ^{2}}{2 ln ( x ) - 3} + \frac{c _{1}}{2 ln ( x ) - 3}

y = - \frac{x ^{2}}{2 ln ( x ) - 3} + \frac{c _{1}}{2 ln ( x ) - 3}

d er i v a t i v e \frac{1}{4 ^{x}}

\int_{\frac{1}{2}}^{1} \frac{4}{9} x (5 - x^{2}) d x

d er i v a t i v e \frac{t - t}{t ^{\frac{1}{7}}}

\frac{d}{d x} (x sin (y - z))

d er i v a t i v e y = (\frac{3 x ^{2}}{2 x + 4})^{3}