Evaluate the following problems by obtaining the general solution. Show complete solution. (4x+3y-7)dx+(4x+3y+1)dy=0

Q: Q3/ Solve the following equations: 1- х(2у — 3)dx + (x2 + 1)dy %3D0 dy 2- dx 4y x (у-3) 3. y' = 2xy…

A: Note that there are so many ways to write the final answer of the differential equation.

Q: Find the general solution for the equation: dy=(x^2+x)y^3dx

A: Given:          dy=x2+xy3dx

Q: 4. Verify if the following equations general solution: are exact and find the 2 9. 2xydx + (1 + x²)…

A:

Q: find the general solution of the given equation. 4 d2y/dx2 - 12 dy/dx + 9y = 0

A:

Q: 1) Determine the general solution of 2xdy = (x* + y*)dx %3D

A: The differential equation is 2xdy=x4+y4dx.

Q: What is the general solution of xy(xy³– 1)dx + x²(1+xy)dy=0? A 2x°y³ - 3x2 = Cx? 2x³y5 -3x2 = c ©…

A:

Q: Find the particular solution of 3x ydx – (x + y)dy = 0 y(1) = -2.

A: 3x2ydx-(x3+y3)dy=0M=3x2yN=-x3-y3My=3x2Nx=-3x2Since My≠NxTherefore, Non Exact diff. eq.Find…

Q: Find the general solution of the DE (2y – x2) dx + (y+2x) dx=0 А) 2ху + 3 y2 =C 2 (в) 2ху — 3 x3 y2…

A:

Q: Obtain the particular solutions of the following: (y-Vr² + y² \dx– xdy =0, y(0)=1 a.

A: Solution is given below:

Q: Solve the D.E.: (2xy - 3x^2) dx + (x^2 + y) dy = 0 Show your solutions on a separate sheet of paper.…

A:

Q: F(x) = S 43x dx u = 3x; du = 3dx 3 F(x) = S 43x dx 3 1 1 C43ra

A:

Q: The general solution of (2x2 + y) dx + (x²y – x) dy = 0 is 4x2 + Dy² -Dy D

A: Given that 2x2+ydx+x2y-xdy=0Solution…

Q: Obtain the general solution to the equation. (x²+2) dy dx + xy-7x=0 The general solution is y(x)=,…

A:

Q: Find the general solution of using the method of variation of parameters. d²y dy 2- - 42+ 2y = xe 2x…

A: Given,2y"-4y'+2y=xe2xComplementary SolutionAuxiliary Equation is 2m2-4m+2=0⇒m2-2m+1=0⇒m-12=0⇒m= 1 ,…

Q: Question 2 Determine the general solution. x (dy/dx) = 2 - 4x^3. O y=lnx-(1/3) x^2 + c Oy=2…

A:

Q: Obtain the general solution of the following equations:    2y(x2-y+x)dx-(x2-2y)dy=0

A:

Q: Find the general solution of the D.E (D^2+4)y=sin3x

A: We have to solve the problem

Q: What is the general solution of Xy(xy- 1)dx + x²(1+xy)dy=D0? A 4x3y +3x2= Cy 2x y³-3x2= Cx? 2x°y5 -…

A: Option (c) is right Solution...

Q: fin the general solution of (x+2y-4)dx - (2x+5-y)dy=0

A: Please see the below picture for detailed solution.

Q: Find the solution of the following 3(1 + t ^ 2) * (dy)/(dt) = 2ty * (y ^ 3 - 1)

A: The solution to the given differential equation is explained below.

Q: 3. Find the general solutions of, (xy + x* )dy + y°dx = 0 b.

A:

Q: Show that the solution of the equation d3y/dx3 +3αd2y/dx2 +3α2dy/dx+ α^3 y = 0 is y…

A: According to the given information, First it is required to show the solution of given differential…

Q: Find the general solution or particular solution of each of the foll 1. 2y(x+y+2)dx + (y²–x²– 4x –…

A:

Q: Obtain the general solution of the following equations:   (x-4y-9)dx-(4x+y-2)dy=0

A:

Q: Consider the problem y' =1-2.xy, y(0) = 0 . %3D Find the solution of this D.E.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1. Solve the following equations: c) (x² - 4xy – 2y²) dx + (y² + 4xy – 2x²) dy = 0 -

A: Given :x2-4xy-2y2dx+y2-4xy-2x2dy=0

Q: Find the solution of the following initial value problem d2y/dx2 + 2 dy/dx − 3y = 12ex ,  y = 0 and…

A:

Q: he The general solution 2y+3 In|x+y-2=c (x+ y+1)dx +(2x+ 2y–1)dy = 0 to the equation True False

A:

Q: Find the general solution of (y + 1)dx + (4x - y) dy = 0 Show your solutions on a separate sheet of…

A:

Q: Find the general solution of a given non exact DE y(8x-9y)dx+2x(x-3y)dy=D0. (Note: Express your…

A:

Q: 12. Find the general solution of x²dx + y(x – 1)dy = 0

A: This is a variable seperable DE.

Q: Find the solution of the following initial value problem. dy = 3 x², y(0) = 9 dx y =

A:

Q: (8x² y² -2x + 4xy² - x) dx + (2xy + x + 2y + 1) dy = 0

A:

Q: Obtain the general solution of the following equations:   1.) y(y3-x)dx+x(y3+x)dy=0

A:

Q: Solve the following initial value problem by the method of separation of variables. dy 2x+1 ,y(0) =…

A: To solve the given initial value problem.

Q: Find the general solution of the given DE. y"-2y"-y'+ 2y 0 %D

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation is given by

Q: Question included in image

A: Given that,

Q: 2. Find the general solution of d²y dy +5 dx² dx -6y= = : 0

A:

Q: Show that the solution of the equation d3y/dx3+3αd2y/dx2+3α2dy/dx+α3y = 0 is y = (Ax2+Bx+C)e−αx.…

A: Explanation of the solution is given below...

Q: 3. xdy - [5x*(x²+y²) +y]dx= /x²+y² (xdx + ydy)

A:

Q: dy + ydx %3D = 3x²y?dx,

A:

Q: Give the general solution of: dw/dx + (4w)/x = x3

A:

Q: (b) Find the general solution of (y* + 2y)dx + (xy³ + 2y* – 4x)dy = 0 %3D

A:

Q: Solve the following initial value problem (y)dx+(y4-4x)dy=0 with x(2)=5/2.  For your final answer,…

A: Given,      (y)dx+(y4-4x)dy=0  and   x2=52

Q: 3. Find the general solution of dy = y(xy – 1). d:r

A:

Q: -13x b) y = S dx Integrate. x2-5

A: Explanation is given below..

Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0. Answer:

A:

Q: Find the general solution of D.E. below: (x-2y) dx + (2x+y) dy = 0

A: