8. Solve the differential equation y"+y=sin(2) cos(x).
(1 point) Solve the following differential equation: (tan(x) 8 sin(x) sin(y))dx + 8 cos(2) cos(y)dy = 0. = constant. help (formulas)
Solve i. and ii. Given the ordinary differential equation: cos(x)y' = sin(x)y + 1 Find the general solution of the given differential equation. ii. Solve the ordinary differential equation: ay' + by = a cos(wx) + Bsen(wx) Where: a, b, a,ß and w are nonzero real constants.
Solve the given differential equation by undetermined coefficients. y'' − 2y' + 2y = e^2x(cos(x) − 8 sin(x))
o2: 16 Marks] Find the general solution of the differential equation (sin x)y" +(cos x)y' cos x by reduction to first order DE. o2: 16 Marks] Find the general solution of the differential equation (sin x)y" +(cos x)y' cos x by reduction to first order DE.
please solve the given differential equation 11. [y cos(xy) sin x] dx +xcos(xy) dy 0
4. (a Let (sin( x cos( ) dr + (x cos(x + y) - 2) dy. dz= Show that dz is an exact differential and determine the corresponding function f(x,y) Hence solve the differential equation = z sin( Cos( y) 2 x cos( y) dy 10] (b) Find the solution of the differential equation d2y dy 2 y e dx dæ2 initial conditions th that satisfi 1 (0) [15] and y(0) 0 4. (a Let (sin( x cos( ) dr...
Solve the following differential equation: xy' + y = sin(x) + e^x 3. Solve the following differential equation: ry' + y = sin(x) +e
Please show all the steps of these questions. Solve the differential equation y' + y cos x = { sin 2x dy V1 - y2 Solve the initial value problem y(e) = dx x In (x) 1 = V2
Solve the given differential equation. 9) dy + y = 14 +6 cos 3x 9) dx² B) y = ci sin x + c2 cos A) y=cı sin x +c2 cos x + cos 3x +14 C)y=cı sin x +c2 cos x - cos 3x +14 D) y=q sin x +02 cos x - sin 3x+14