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

Lösung

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

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

\int_{0}^{π} x sin (x) d x

\frac{\partial}{\partial x} (\frac{8 y}{x ^{5}})

f (x) = \frac{1}{2 x + 1}

t an g e n t f (x) = \frac{2 x - 4}{x}, at x = 4

\frac{\partial}{\partial x} (\frac{t}{a ^{2} t ^{2} - x ^{2}})