Solve the following initial value problem y(0) = 0 cosx (dy/dx) - ysinx = 3x^2
Solve the Bernoulli equation a) xy′−4y = x^2√y, b) y′ = y(y^3 cosx +tgx), Solve the exact equation a) 2xcos^2 ydx +(2y−x2sin2y)dy = 0, b) (x^3 −3xy^2 +2)dx−(3x^2y−y^2)dy = 0, PLEASEEE it would mean a world to me
No 4. Solve the differential equation dy dx . Solve the initial value problem: y" + 3y' + 2y 10 cosx, y(0) 1,y'(0) 0
Solve e^x dy/dx = x sec (y) y (0) = pi
solve using Exact and Non-Exact DE 13. -y dx +(x - x) dy 0 dy 0
Evaluate the integral. 27 77 (sin x + cos os y) dx dy 0 311 2TT 5TT 4TT
x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a) x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a)
(2x+ 2 x y²) dx + ( x ²) - 3y) dy = 0 solve your equation
Problem 5 (25 points) Show that the differential equation (siny -ysinx)dx + (cosx + xcosy - y)dy = 0 is exact, and hence find the general solution. Solve the following. Simplify answers as much as possible. (a) (1+y?)dx -xydy = 0 , y(5) - 2 (b) e(sinx)dy +(e X + 1 cosx)dx = 0
1. Solve x(1 – x2)dy + (2x²y - y -ax3) dx = 0.