Find a differential equation whose solution is the given n-parameter family:
log y = c1 x^2 + c2
soln. need to get is:
xyy" - yy' - x(y')^2 = 0

Write an equation of a line in slope intercept form that is perpendicular to the line 2x -3y = 12 and passes through the point (2, 6).

Solve the system of equations y= 3/2 - 1, -x+ y =-3

The volume of gas a balloon can hold varies directly as the cube of its radius. imagine a balloon with a radius of 3 inches can hold 81 cubic inches of gas. how many cubic inches of gas must be released to reduce the radius down to 2 inches?