(dy)/(dx)+(5/x)y=-x+5

Lösung

\frac{d y}{d x} + (\frac{5}{x}) y = - x + 5

y = - \frac{x ^{2}}{7} + \frac{5 x}{6} + \frac{c _{1}}{x ^{5}}

Schritte zur Lösung

\frac{d y}{d x} + (\frac{5}{x}) y = - x + 5

Solve linear ODE:

y = - \frac{x ^{2}}{7} + \frac{5 x}{6} + \frac{c _{1}}{x ^{5}}

y = - \frac{x ^{2}}{7} + \frac{5 x}{6} + \frac{c _{1}}{x ^{5}}

p a r t ia l f r a c t i o n \frac{x}{( 2 x + 3 )}

d er i v a t i v e f (x) 3 x^{4} (x^{2} - 2 x)

\frac{\partial}{\partial x} (\frac{2}{3} (x^{2} + 1)^{\frac{3}{2}})

y^{^{''}} - 0.02 y = 0, y^{^{'}} (0) = 2, y (0) = 0

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