Solve the equation using De Movier's theorem: x² – 2 – 2V3i = 0 %3D

Q: x-2X x+ X-6

A: Here we have to calculate the givne limit.  =limx→2x2-2xx2+x-6

Q: Solve: In(x + 2) – In(4x + 3) = In %3D

A: Given equation is lnx+2-ln4x+3=ln1x.

Q: solve for r: C/R = 2π

A: Given equation is as shown below.

Q: solve D.E (Z+3j) du – 2xydy = 0

A: Given problem:- (x2+3y2)dx -2xydy=0

Q: Solve for x and y 28 16

A: If three or more parallel lines are cut by two transversals, then they arecut proportionally.

Q: x°+3x Find y". y 3= %3D

A: Given function: Simplifying:

Q: B) Solve (3x? + 3x y²)dx + (3x²y – 3y² + 2y)dy = 0 %3D

A: First test for exactness:  ∂∂y3x2+3xy2=6xy ∂∂x3x2y-3y2+2y=6xy Since, ∂∂x3x2y-3y2+2y=∂∂y3x2+3xy2 so…

Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: ZPSR (9x- 3) (4x - 12)° Q.

A:

Q: %3D i=2

A:

Q: - Solve for x: x² - 3ax = 4

A:

Q: Solve by the method of successive approximat ion

A:

Q: Solve the equation y" – 8y' + 16y =t-te*.

A:

Q: y"-3y'-4y = 2x² - 3 %3D

A: First solve for homogeneous part and then find particular integral  resulting will be required…

Q: 4 dx is equal to: xv16 - x2

A: we have to find the following integral

Q: Solve (2xy-2xy- = 0 4xy² +2x) dx + (3x2y + 4y) dy %3D

A:

Q: involuing 9,h and k Lonsistent eFind equation that makes matrix -4 こ 3. ニ -9 %3D

A: Explanation of the solution is given below...

Q: Solve (mz-ny)p+(nx-lz)q=ly-mx

A:

Q: Solve for z: Inz + In(z – 6) = In(2z), %3D

A:

Q: Rung-kutta method yl=y Luse to Solve

A: To solve the given differential equation by Runge Kutta Method first we will find the values of k1,…

Q: V3 3 9) 9 +x2

A: The given integral,        ∫0339+x2dx