(dy)/((5-3y)^2)=(dx)/(2(4-x))

Lösung

\frac{d y}{( 5 - 3 y ) ^{2}} = \frac{d x}{2 ( 4 - x )}

y = \frac{2}{9 ( ln ( 4 - x ) - 2 c _{1} )} + \frac{5 ln ( - x + 4 )}{3 ( ln ( - x + 4 ) - 2 c _{1} )} - \frac{10 c _{1}}{3 ( ln ( - x + 4 ) - 2 c _{1} )}

Schritte zur Lösung

\frac{d y}{( 5 - 3 y ) ^{2}} = \frac{d x}{2 ( 4 - x )}

Solve separable ODE:

y = \frac{2}{9 ( ln ( 4 - x ) - 2 c _{1} )} + \frac{5 ln ( - x + 4 )}{3 ( ln ( - x + 4 ) - 2 c _{1} )} - \frac{10 c _{1}}{3 ( ln ( - x + 4 ) - 2 c _{1} )}

y = \frac{2}{9 ( ln ( 4 - x ) - 2 c _{1} )} + \frac{5 ln ( - x + 4 )}{3 ( ln ( - x + 4 ) - 2 c _{1} )} - \frac{10 c _{1}}{3 ( ln ( - x + 4 ) - 2 c _{1} )}

l a pl a ce t r an s f or m e^{- 0.75 t} cos (4 t)

t an g e n t f (x) = \frac{1}{2} x^{2}, at x = 2

\int \frac{1 - x ^{2}}{1 - x} d x

\int \frac{t + 1}{3 t ^{2} + 6 t - 5} d t

\frac{\partial}{\partial y} (x e^{w})