Solve the separable equation using the integral factor  Sinx dx + ydy = 0, when x=0, y=1

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

A: Integral by parts

Q: Integrate: S sin3x cos²x dx

A: The given integral is ∫sin3xcos2xdx

Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

Q: (4cscxcotx + 2 sec² x)dx

A:

Q: S sec x dx Use Integration by parts to solve

A:

Q: find the general solution of  xdy/dx+4y=(sinx/x)*(sqrt of y)

A:

Q: Cosxdx+(1+2 /y) sinxdy =0

A:

Q: x + 4) (y + 1)) dx + (y (x +3x + 2)) đy = 0

A:

Q: Find the volume of a sphere. Use cylindrical coordinates. Find the volume of a circular cone.

A:

Q: Solve (Vr) = sec (Vx) using variable separable form. dy dx

A:

Q: x2+1 - dx x4-x²+1

A:

Q: 3—4х dx =? Vx2+6x+1

A:

Q: Solve by using u-sub  Find integral  3X/X+4 DX

A: The given integral

Q: Show that d/dx(x arcsin x+√1−x2) =arcsin x.

A: We separate the differentiation with both parts

Q: (coshx – sinhx)? dx =

A: To evaluate the given integral.

Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

Q: y= Sinh (3x+5x+6) 2. %3D

A: We have to find differentiation of the given function.

Q: d^2y/dx^2 + 3dy/dx + 4y = 3x + 2 Utilize the indeterminate coefficient technique to solve the above…

A: Here is the, solution

Q: Solve ODE xdy/dx + y = 0 when x=4 and y=6

A: Given,xdydx + y = 0x dydx= -yx dy = -y dxdyy = - dxx