Solve using Integrating Factor by Inspection. Do not use Exact Method. Show Complete Solution. y(x^3 e^xy - y)dx+x(y + x^3 e^xy )dy = 0 Ans: 2x^2 e^xy+y^2= cx^2

Q: Determine the characteristics equation of x^2r+2xys+y^2t=0

A:

Q: 1. 5х2у" + 23ху' + 16.2у —D 0 2. х?у" + 0.7ху' — 0.1у %3D 0 3. х2у" — 0.7ху — 0.1у %3D0 |

A: Given

Q: Solve (5x + 9y) dx + (9x+ 5y) dy

A:

Q: Solve 2- (2xy - 2y)dx + (3x'y-4x)dy 0

A: We have to solve given problem:

Q: solve y′′′′+ 3y′′−4y = t^2

A: Given differential equation is yIV+3y''−4y=t2. We have to find the solution of the given…

Q: Find the solution of the D.E. xydx - (x? + 3y) dy = 0 Show your solutions on a separate sheet of…

A: Given differential equation is xydx−x2+3y2dy=0....1. We have to find the solution of the given…

Q: xdy = (y - Vx² + y²) dx

A:

Q: x²+2x - 1 dx 2x3 + 3x2 - 2x

A:

Q: Use the method of variation of parameters to solve y" – 4y +4y = 2e". %3D -

A:

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: (3x*-5)(2x +9x-6 of y= dy and %3D Determine the 7x

A: Simplify the equation. y=6x7-10x3+27x5-45x-18x4+307x5=67x2-107·1x2+277-457·1x4-187·1x+307·1x5

Q: Linearize the non-linear equation: 1. y=c+ax^n

A:

Q: (6x+y^2)dx+y(2x-3y)dy=0 solve using exact equations (diff eq)

A: I am attaching image so that you understand each and every step.

Q: Find a general solution to the DE (D^2 + D- 6) y = 5e^2t by: a. Undetermined coefficients b.…

A:

Q: elimination of first degree variable: 2x/3 - y/2 = 1

A: The given equation is: 2x3-y2=1

Q: x²dx 3 2 3 (5-x') 2.

A:

Q: Find all solutions to the equation (D^2 − 3D + 2)y(x) = 2e^3x.

A:

Q: Pick the equation that matches the graph below |– x^ Vx 1 O = Vx + 1

A: Given query is to find the equation of the graph.

Q: (e^x+y^3).dy=0

A: The differential equation is given 2x2y2+exydx-ex+y3dy=0. To check whether the equation is exact…

Q: * Salne the equalion:- (2x-44 +5)y'=n -2y+3

A: This homogeneous differential equation is solve by substitution and then by separation of variables…

Q: Exercise 2 Eliminate the arbitrary constants of the following. General solution 1. y = cx + c + 1

A: We have y=cx+c2+1 Now, we see that there is 1 arbitrary constant "c" Differentiate y=cx+c2+1 with…

Q: Find the solution of: (D^2 −4)y=8e^2x−12

A: solution is given below

Q: Solve by integrating factor by inspection    ydx + 2(y^4-x) dy =0

A: