Mit jelent az y (x) (x)?

Ezt a megoldást találtam:

Solve the separable equation y(x) ( dy(x))/( dx) = sin(x) cos(x):

Integrate both sides with respect to x:

integral ( dy(x))/( dx) y(x) dx = integral cos(x) sin(x) dx

Evaluate the integrals:

y(x) y(x)(x) = -1/2 cos^2(x)+c_1

Solve for y(x):

y(x) = -(cos(2 x)-4 c_1+1)/(4 y(x)(x))

Simplify the arbitrary constants:

Answer: |

| y(x) = -(cos(2 x))/(4 y(x)(x))+c_1/(y(x)(x))