((x^2+1)dy)/(dx)+xy-x=0

Lösung

\frac{( x ^{2} + 1 ) d y}{d x} + x y - x = 0

y = \frac{c _{1}}{x ^{2} + 1} + 1

Schritte zur Lösung

\frac{( x ^{2} + 1 ) d y}{d x} + x y - x = 0

Solve separable ODE:

y = \frac{c _{1}}{x ^{2} + 1} + 1

y = \frac{c _{1}}{x ^{2} + 1} + 1

l a pl a ce t r an s f or m e^{2 t} sin (2 t)

\int sin (t) \cdot cos (t) d t

x \to 2 lim (3 x^{2} + 2 x)

a re a x = y, x = 2 - y, y = 0

d er i v a t i v e g (x) = x^{3} - 7 x^{2} + 2 x + 40