Find the General Solution of the following differential equations. If boundary conditions are given, find also the Particular Solution. identify also if variable-separable (e²x + 1)dy = ydx

Q: x - 2 > 1

A: Given,          x-2 >1

Q: 2) folve 27 L1 J2-5 -2z -J3

A: solve2z+1-2z-3=2-i3

Q: 2-X 2-x-Y dza dx

A: the given integral is: ∫01∫02-x∫02-x-ydz dy dx we have to evaluate the given integral.

Q: Jg+X -J9-X

A: We are given 0/0 form so we find limit by rationalize the given function

Q: fx³ cos4xdx (you can use short cut method)

A: ∫ x3cos4xdx

Q: V -4 dt 3t

A:

Q: elimination of first degree variable:   2x-3y=2 4x-6y=11

A: The given system of equations consists of two parallel lines and two parallel lines never intersect…

Q: 2+1 dt

A:

Q: +4x -4 いり-3 2y-4

A:

Q: 23

A: We will solve the problem

Q: 3x₁2x₂ 2x₁ + 2x₂ - 2x3 - 4x4 + 2x3 + 9x₁ = 4 4x4 = 6

A:

Q: x30

A: Given : X3< 0 and y3>0 To find :  The correct quadrant for this condition

Q: 5-2a>2a-1 or 10a>9a+9

A:

Q: find x and y if (2x+1,y)=(5x+4, -7)

A: Given: 2x+1,y=5x+4,-7

Q: 2x + y = 5 X - y = 1 Use substitution method

A:

Q: 3っ2 X-9X+2

A: To solve the inequality: 3x-9>2x+2 Solution: Solving the given inequality.…

Q: x+2 xp- J +4x

A:

Q: =8 + = 6 13 8 Time 2 hours = 00 +

A:

Q: 3x+5 / 3x-1 = 5x+3 / x+1

A: Solve the given equation

Q: horizontal asymtotes of 8x2+2x+1 2x2+3x−2

A: The objective of this question is to find the horizontal asymptotes of the given rational function.…

Q: 2x-371

A: It is given that the expression 2x-3⩾1. We know that x=x             if  x⩾0 -x         if  x<0 .…

Q: Let n be a positive integer and let F be a field. A matrix A E Mn (F) is a magic matrix if an only…

A: Given that n be a positive integer and F be a field. A matrix A∈MnF is a magic square if and only if…

Q: x2-2x-3>0

A: Given x2-2x-3>0

Q: -2

A:

Q: What is the value of X? _  and  Y? _

A: Given, 6x-3y=9 -8x+5y=-11

Q: x²2 -4 dr. r> 2

A:

Q: x + 3 < 3x − 4  Find the intersection of this equation if availble

A:

Q: Write an equation that has the given soultuions.  - (7)/(6), (5)/(6)

A: The solutions of the equation are -76 &amp; 56.

Q: X+2 1-く

A: Here, we consider the two cases. 1) x+2&gt;0. 2)x+2&lt;0

Q: 3x - 4y = 1 3x-2y = -1

A: Denote the equations. 3x-4y=1            ...13x-2y=-1            ...2

Q: imitial value problem. गाव्ी doc + (2+x+ follawing awing Solve the (ex

A: A differential equation of the form M dx+ N dy=0 is exact if  ∂M∂y=∂N∂x Given differential equation…

Q: I got wrong chatgpt solution Don't use chat gpt plz

A:

Q: 2. DG = 3x - 3 2x +2, EF D. G.

A:

Q: ) y? = 922+22-1 %3D

A: To find: The solution of second order differential equation. Given: The differential equation is…

Q: 5x-y=1 y=5x-1

A:

Q: Integrate x2

A:

Q: Differentiate. 5x-9 .3 g(x) = 2x + 1 gʻ(x) = D

A: