(dy)/(dx)=(16sqrt(x))/(e^y)

Lösung

\frac{d y}{d x} = \frac{16 x}{e ^{y}}

y = ln (\frac{32}{3} x^{\frac{3}{2}} + c_{1})

Schritte zur Lösung

\frac{d y}{d x} = \frac{16 x}{e ^{y}}

Solve separable ODE:

y = ln (\frac{32}{3} x^{\frac{3}{2}} + c_{1})

y = ln (\frac{32}{3} x^{\frac{3}{2}} + c_{1})

y^{^{''}} + 4 y = 12 sin (2 x)

d er i v a t i v e f (x) = \frac{4}{3 x ^{2}} + \frac{1}{x ^{2.1}}

\int \frac{( 8 + x + x ^{2} )}{x} d x

x \to 4 - lim (\frac{6 x}{x - 4})

f (x) = 3 sin^{2} (x)