Derive y = e*+1 sin x³,

Q: Find the fixed point iteration of the function y=sinx

A: We shall use fixed point iteration to solve this problem.To do this, we have to solve the equation…

Q: Find tan-1 x2 -dx using integration by parts.

A: Integral by parts

Q: Find if, y - x = sin(xy)

A: In this question we will use differentiation property for solving this question and after that we…

Q: Integrate (sin1/2)(x)dx

A: The given integral is ,∫sin12x dx=∫sinx2  dx

Q: y = 2 sin 3x 1+3 cos2x

A:

Q: Vtan XP sin X cosX

A:

Q: Solve 424 sin2 x-1 1 for x e (0,).

A: Note:

Q: Solve th D.E using Exact -(3x² – 6.xy)dx +(-3xr' – 2y)dy = 0

A:

Q: Derive the formula tan¯¹(x) =_¹. dx 1+x²

A: Introduction: The derivative of a function is defined as the instantaneous rate of change of a…

Q: Solve the DE (D-1)y= 3 sinx+ 22 - 2x°2

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Q: Find /e2x sin(2x)dx

A:

Q: olve: y=ln ln [cos2(3x)]

A:

Q: #4 tan lun sec x dx 4.

A:

Q: Show that the equation tan(x)=1−x has a real solution.

A: Using Newton raphson method.

Q: y = (cos(3x))*

A:

Q: xV1- cos x dx

A: ∫0π2x1-cosxdx

Q: -S * sin ´sin sin (e*) dx

A: we have to integrate

Q: Solve the non-linear function using NR AND Secant Method. Use 5 decimal values and stop at & S…

A: Note : As per our policy, we are allowed to answer only first part of question kindly post remaining…

Q: Evaluate : e2x sin3x dx

A: Introduction :

Q: Cos 2x %3D 1-sin 2x

A:

Q: Construct an equation such that y = = C1e3z cos x + C2e3ª sin x is its general solution.

A: To determine the differential equation from the solution  Check the number of constant in the…

Q: b) Evaluate S e-2t sinht dt an

A:

Q: [(csc 2x log tan x) + (sin 3x cos 3x)]dx

A: Given  The integration is ∫-π6π4csc(2xlog(tan x) +(sin 3x cos 3x)  dx

Q: e-32 sec(e-32) tan(e-³²)dz

A: