Differential Equations Answers

construct an analytic function whose real part is u(x,y)=3(x^2)y-y^3-x+6
can you show me 1 by 1 the steps?

Find the solution of the equation that satisfies the given conditions for x-> infinite. The equation is: (x^2)(y') - cos(2y) = 1, y(+infinte) = (9)(pie)/(4)

integrate and show the steps of the folowing ∫2e(x2−y2)(xcos(2xy)−ysin(2xy))dy

Differentiate w.r.t.x - y=e^(xloga) + e^(alogx) + e^(aloga)

Consider the function Y = x^2– 2x – 15 and determine the following:
a. Whether the function has a minimum or a maximum
b. Minimum or a maximum value of the function
c. Crossing point of the graph in x axis
d. The intercept

If y=e^ax 〖cos〗^3 x〖sin〗^2 x find dy/dx.

root2<r<root3

hussain has a total of RS.590 of currency notes in the denominations of Rs.50,Rs.20,and Rs.10. The ratio of the number of Rs.50 and Rs.20 notes is 3:5. If he has a total of 25 notes, how many 10-rupee notes does he have?

Find a surface satisfyin r+s=0 and touching the elliptic paraboid z=4x2+y2 along its section by the plane.y=2x+1