(x^2+1)(dy)/(dx)+4x(y-1)=0,y(0)=8

Lösung

(x^{2} + 1) \frac{d y}{d x} + 4 x (y - 1) = 0, y (0) = 8

y = \frac{7}{( x ^{2} + 1 ) ^{2}} + 1

Schritte zur Lösung

(x^{2} + 1) \frac{d y}{d x} + 4 x (y - 1) = 0

Solve separable ODE:

y = \frac{7}{( x ^{2} + 1 ) ^{2}} + 1

y = \frac{7}{( x ^{2} + 1 ) ^{2}} + 1

\int_{- 1}^{1} e^{y} - (y^{2} - 7) d y

\frac{d}{d x} (lo g_{9} (- (x - 4) (5 x - 2)))

\frac{\partial}{\partial y} (sin (x) y)

d er i v a t i v e f (x) = \frac{x ^{5} + x ^{9}}{x}

d er i v a t i v e y = 8 e^{- x} + e^{3 x}