9) ydx+x(1+y)dy 0

Q: · (x−1)² √x d) f - dx =

A: To evaluate the following integral.

Q: If a and b are integers, then a/b is always a rational number. True False

A:

Q: Let S be a linear transformation from R³ to R2 with associated matrix Let T be a linear…

A:

Q: = f(2y + 3)²√√y+2 dy

A: To solve the given integral

Q: 5- Solve the folowing linear algebraie equations using the Gauss elimination method: 3x -2x2 + 7x3 =…

A:

Q: (x+y)^2=x^2 + 2xy + y2, subsitute (-2) for x,and (-1) for y, and check if the left hand side is…

A:

Q: Q/IF it was AY ₁2) = -12 Y(2) ℗ Y³ (2) = − 12 ⒸY² (2) = -11 Y³ (2) = -11 DÝ (2) = -13 © ²³ (2) = -13…

A: Given

Q: Obtain the Selution of diffnential equation Sec Y x2-4x +5

A:

Q: Differentiate in two ways: y = (x + ¹)(x - ² + 1)

A: We know that the product rules of the derivative d/dx(uv)=u*(dv)/(dx)+v*(du)/(dx)

Q: 4. (D2 – 5D + 6)y = 15sinx – 15cosx -

A:

Q: b) (2x - 3y +4) dx + 3 (x-1) dy = (x-1) dy %3D

A: Given:- (2x-3y+4) dx+3(x-1) dy=0 To find:- General solution of given differential equation

Q: If (4x + xy):(5xy - y*) = 12:5, find x: y

A:

Q: 2-5 Secxtanx edx 4-Sečx

A:

Q: 10. (D² – 3D) y= 9x² = 9x2

A: 10) Given Information: Given differential equation is D2-3Dy = 9x2

Q: 2 2dx 9+4x? 2

A: Here we have to find the value of the given integration.

Q: 2) Find of y = क सम्माय 2) r*+1)(2x+3)

A: Simplify the given expression and take log on both sides.…

Q: 3. Show that Z, -

A:

Q: 3y +5 (5y-7)2 dy

A: We can find the integration as below.

Q: 2 Ⓒz² = x² + y² 2

A:

Q: 1. Given the algebraic function x² xy + y² = 3

A:

Q: 6. y = V2x – 3x . Find y'" -

A:

Q: (xdx ydy + zdz)2z {(z²x²y²) (xdx + ydy + zdz) dz + %3D

A: Differential equation

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.