4- Solution of the following equation 4xy?dx + (x² + 1)dy = 0 is O (x+1)/y In( x+1)/y O None of the above

Q: Evaluate (3x² - 7x) cos(2x) dx

A: To integrate the given integrand.

Q: 1 1-¹ ( ( 5 + + 2) ³) 3 = Find ac + b. α ~tbeat C

A:

Q: [ arctan (1-x)]² 4x2- 8x+8

A: The derivative of the function y'=dydx is the measure of how fast the function is changing with…

Q: General Solutions (D2+2D+2)y=5cosx+10 sin2x

A:

Q: 4. 10x (2x² + 1) dx

A:

Q: dy et + 4x Find if y = The answers have been slightly simplified. %3D dx 3x – 1 (3x – 1) (e² + 4) +3…

A: The given equation is y=ex+4x3x-1.

Q: O dx √4-9x² O -1 sin O 1 sec sin 0 1 3 -sec 3x 2 2x 3 2x 3 + c + c +c 3x ¹ (³2) +c

A: Integral

Q: Perform the given functions through method of inspection. y(y3-x) dx + x (y³+x) dy = 0

A: We will find out the required solution.

Q: 2 6x (x² + 2x) dx

A:

Q: 2 (√x² + y²) [2x − (x² + y²)]

A:

Q: (4x³y – 15x² – y )dx +(x* +3y² – x)dy=0 -

A:

Q: √√2/2 11x² dx So √₁-x²² 10

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.