(x^2+4)dy=(2x-8y)dx

Lösung

(x^{2} + 4) d y = (2 x - 8 y) d x

y = \frac{\int \frac{2 x e ^{4 a r c t a n (\frac{x}{2})}}{x ^{2} + 4} d x}{e ^{4 a r c t a n (\frac{x}{2})}}

Schritte zur Lösung

(x^{2} + 4) d y = (2 x - 8 y) d x

Solve linear ODE:

y = \frac{\int \frac{2 x e ^{4 a r c t a n (\frac{x}{2})}}{x ^{2} + 4} d x}{e ^{4 a r c t a n (\frac{x}{2})}}

y = \frac{\int \frac{2 x e ^{4 a r c t a n (\frac{x}{2})}}{x ^{2} + 4} d x}{e ^{4 a r c t a n (\frac{x}{2})}}

n \to 6 lim ((- 1)^{n} 7 n)

x \to 3 lim (- x^{2} + 9 x - 8)

d er i v a t i v e f (x) = d cos (t) + t^{2} sin (t)

\frac{d}{d t} (1 + 4 t)

y^{^{''}} - 2 y^{^{'}} + 5 y = 0, y (\frac{π}{2}) = 0, y^{^{'}} (\frac{π}{2}) = 2