Question#03 Solve by any appropriate method. x*y" + 2r'y"-xy' + xy = x*sin(Inx) Question#04

Q: Plase solve the integial I12= COs(5) sin(@x) don

A: Given integral:

Q: ELIMINATION OF ARBITRARY CONSTANTS 1. y = x² + Ae²x + Be3x 2. y = C,e*cosx + C2e*sinx

A: The solution for the asked question,question no.2 ,  is given as

Q: sin(20) 0 = /-

A: When theta is between 0 to 360 degrees, then 2theta is between 0 to 720 degrees. We use sin inverse,…

Q: ubstitution Suggested by the Equation y′ + 1 = 4e^−y sin x

A: Given differential  equation is dydx + 1  = 4 e-ysinx ey dydx+ ey = 4 sinxLet  ey  = v eydydx =…

Q: cos(x) = 3/6       3?/2 < x < 2? cos(x/2)=? sin(x/2)=? tan(x/2)=?

A:

Q: 2 sin (2/3x) = root 3 on [−2pi, 2pi]. Also solve for n = 0, n = 1, n = -1, n = 2, n = -2

A:

Q: العنوان solve b sin ² (3x) cos² (5x) dx 2 8 tan³x dx >

A: First, we need to identify the type of integral we are dealing with. The first integral is a product…

Q: In Problems 19-24, use the method of Frobenius to find at least the first four nonzero terms in the…

A:

Q: (6 Sin (ix) dx

A:

Q: 3 sin(0) = 8. find cot(0)

A: We will use trigonometric identity Sin2(x)+cos2(x)=1.

Q: @ y = x tan 2x

A:

Q: 2 १ sin (3x) cos² (5x) d>

A: The integral we are trying to solve is ∫2 sin(3x) cos²(5x) dx. This is a complex integral involving…

Q: sin(16x) cos(8x) =;(sin( x) + sin( -8 2))

A: Let the given trigonometric function be y - y = sin(16x)cos(8x)Divide and multiply by 2 on the right…