The complementary function (CF) of the differential equation y" – 2y' + 2 y = 0 is a) CF=e"[c, cos .x +c, sinx] b) CF=[c, cos x+c,sin x| c) CF=e*[c, cosx+c, sin x] d) None of these C O d O b a

Q: 2 Find the second derivative of y = 1½ cos² x. Oy" = COS x 2 y" = COS X sin² x cos² - Oy" = sin² x =…

A: Q.Consider, y=21​cos2x Differentiate with respect to x. y′=21​dxd​(cos2x) Use formula:…

Q: Give the general solution of the differential equation p"+ 25 y =2 sec( 5 x) a) O y=C, sin(5 x) + C,…

A: To find  The general solution of the given differential equation.

Q: The differential equation (2 tan(2x) - 2 sin(2x) sin(y))dx + (cos(2x) cos(y Has solutions of form…

A:

Q: Evaluate the given differential equation y' tan x sin 2y = sin²x + cos²y A. sinx (sin'x + cos°x) = C…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.