1. X^4(dy/dx) +x^3y =- sec (xy)

Integral by separation of variables?

Step-by-step explanation:

given the differential equation x^4(dy/dx) +x^3y =- sec (xy). Solving using the variable separable method;

Substituting v and dv/dx into the equation above we have;

Separating the variables:

The final expression gives the solution to the differential equation.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i