(x+3)((dy)/(dx))+y=ln(x)

Lösung

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

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

\frac{\partial}{\partial y} (\frac{2 x}{y})

\frac{d y}{d x} - \frac{( 2 y )}{( 3 x )} + \frac{( x ^{2} + 2 )}{3} \cdot y^{4} = 0

x^{^{''}} + 3 x = 0

\int_{0}^{\frac{5}{2}} 25 - x^{2} d x

\int (9 - x) d x