Differential Equations Answers

Solve DE r^2 +4r+3=12

We have a curve passing through (1,2) has the property that the length of the perpendicular drawn from the origin to the normal at any point of the curve is always equal numerically to the ordinate of the point. Please find its equation.

If y = cosx.sinx, differentiate with respect to x.

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)

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.

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