3. Find the general solution of 2xydx + y?dy = 0 A. y? = 2(c + x2) B. y = 2(c - x2) C. -y? = 2(c + x2) D-y? = 2(c-x2) %3D %3D

Q: Find the general solution of (x+y+ 1) dx + (x – 3y – 7) dy = 0 x2 А. Зу? + 2ху + 2х 14y = C х? - Зу?…

A:

Q: Determine the particular solution. (xy)dy – (3x² + y²)dx = 0; Y(1) = 1 O 3ln(x) + 12 = 1²² 2x² O…

A: Let's solve differential equation.

Q: Find the general solution of y"-y'+ óy = 0 %3D A. None of them В. y = Ae" + Be 3x -2x -3x C. y = Ae…

A: A. None of them

Q: The particular solution of y+y-2y = e?x is

A: To find The particular solution of the given D.E.

Q: Find the solution of y- dy --x = 0 using separable variable method. dx +C 2 3 Ob. None of these y +C…

A:

Q: 6. What is the general solution of * (x2 + 2xy – 4 y)dx – (x? – 8xy – 4y²)dy= 0 x2 – 4y? = c(x – y)…

A:

Q: Find the general solution: x(x^3-xy^2+2y^3 )dy-y(x^3+2y^3 )dx=0 O A. xy^2 In [y+x^3-y^3=cxy^2 )] B.…

A:

Q: Find the solution. y'• ty ty" © y- (1-c, y- - (1-co")

A: We have to solve y'+ty=ty3 This can be written as: y'+ty=ty3⇒1y3y'+tyy3=t⇒1y3y'+ty2=t⇒1y3dydt+ty2=t…

Q: Give the general solution of y? – 3 y = ху — Зу a) Oln(y - 3) %3Dх* - бх + С b) Oy = C(x – 3)² + 3…

A:

Q: 4. Find the general solution of (x³ + y³) dx = 3xy? dy A. -3x3 + 2y3 Cx B. 7x3 + 2y3 = Cx C. -6x3 -…

A: According to question, Given differential equation, x3 + y3 dx = 3xy2 dy

Q: 19. Find the particular solution of y" + 4y' + 5y = 2e* a. y =e* b.y =e* c. y = -e* d. y =e* 5

A:

Q: 5. Find the general solution of the given DE: dy 2x + 2xy2 y+ 2x2y dx A. 1+ y? = c(1+ 2x2) C. 1- y?…

A: Topic - differential equations

Q: If y = e2t is a solution to y" – 5y' + ay=0 then a=

A:

Q: the general solution to the DE xy3 dx +ex^2 dy=0 is

A: Given : xy3dx+ex2dy = 0

Q: Obtain general solution of the D.E. y' + (1/3)y = e*yª A 1/y³ = e* (c – 3y) B 1/y³ = e* (c – 3x) с)…

A:

Q: 2. The particular solution of xyy' = (x² + y²) when x = 1, y = 2 is a. y? = x² ln x2 + 4x² b. y? = x…

A:

Q: Find the general solution of (x³ + xy2 + y)dy + (x²y + y³ + x)dx = 0 %3D xy + In(x² + y²) = c 2xy +…

A:

Q: Find the general solution of x (y + 1) dx + y² (x – 1) dy = 0 х2 - у? + 2х - 2у + C. 2ln[(y + 1)/(x…

A: Given differential equation, x2(y+1)dx+y2(x-1)dy=0 ⇒y2(x-1)dy=-x2(y+1)dx⇒y2y+1dy=-x2x-1dx

Q: Find the general solution y" – 6y'+9y=x*e*

A:

Q: 5. Find the general solution of (x +y +1) dx +(x - 3y - 7) dy = 0 x2 - A. x2 + 3y? + 2xy + 2x - 14y…

A:

Q: 14. If ey = 3x² and y(1) = 2, then the particular solution y(x) is dx A. y = In x3 + 2 B. y = 2e*3-1…

A: Given,  eydydx= 3x2     and y1 = 2 We have to find the particular solution of yx

Q: 23. Find the particular solution that satisfies the initial condition. y'+ 3x²y = 3x². Initial…

A: Particular solution is the solution which obtained by giving particular values to independent…

Q: 7. Find the general solution of (ye*y – 2y) dx + (xe*y - 6xy2 – 2y) dy = 0 А. eу + 2хуз - у2 %3D с…

A:

Q: Find a particular solution to y" + 6y' + 9y = 3z e

A: We use the method of variation of parameters to find the particular solution to the given…

Q: 9. Find the general solution of (D² – 2D+ 1)y= 6e*. A) y= (c, +c,x)e* + 3e™* B) y= (c, +c,x+ 3x² )e*…

A:

Q: y = 0, is: %3D The general solution of y +xy +9x-4 Oa C,(3x) + C,Y,(3x) Ob C,XJ,(3x) +C,xJ_2(3x) Oc…

A:

Q: 11. Find the general solution of (x – 2y)dx – (2x + 5y)dy = 0. | x2 a. 쭉-2y + 5y2 =C b. x2 – 4y + y2…

A:

Q: The particular solution of y(x+ y)dx + (x +2y- 1)dy=0; y(0) =2 by NEDE is A x(x+y-1) = 4e* x(x+y-1)…

A:

Q: / How.I Find the general Solution of : (0x - Ox Dy - 6:D*y )U = 0

A:

Q: 9. Find the general solution of (2xy - y+ y) dx + (3x- 4xy + 3x) dy = 0 A. x²y(x - y + 1) = C В. ху…

A:

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: Find the particular solution of y" - 2y +y=D0, y(0) = 5,y(0) = 1. O a. y= 5ex – 2xe* O b. y= 5e-x –…

A: We have to find the solution

Q: 5. Find the general solution of (x + y+ 1) dx + (x – 3y – 7) dy = 0 x? - 3y2 + 2xy + 2x x2 + 3y2 +…

A: To find  The general solution of the given differential equation.

Q: 2. Find the general solution of ydx + (2x + 1 – xy)dy = 0 a.xy² = y +1 + Ce» b.xy = y – 1+ Ce» a.xy…

A:

Q: Find the particular solution of the DE ydx + (2x + 3y)dy = 0; y = -2 when x = 1. O xy? - y3 = 12 O…

A:

Q: Obtain the particular solution of (3x? - 2y-)y' = 2xy; x =0, y=-1. A x² = 2y²ty+1) B x² = y²ty+1) c…

A:

Q: The particular solution of y(x+ y)dx + (x +2y- 1)dy=0; y(0)=2 by NEDE is A y(x+y+1)=2e* B x(x+y-1)=…

A:

Q: Find the general solution of x'y + 1) dx + y´(x – 1) dy = 0 2y + 2ln[(y + 1)/(x – 1)] = C 2y +…

A: Given differential equation is   x2(y+1)dx+y2(x-1)dy=0

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

A:

Q: What is the solution of (xy? – x) dx + (a²y + y) dy = 0 when x = 0 and y = 3 %3D O (22 - 1) (y² – 1)…

A: Exact differential equations.

Q: What is the general solution of (y² - 3y – x) da + (2y – 3) dy = 0 %3D Oy? – 3y – x +1 = Ce- Oy? –…

A: Solution is here

Q: 7. Find the general solution of (ye" - 2y) dx + (xe" - 6xy - 2y) dy = 0 A. ey + 2xy3 - y? = C B. ey…

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution…

Q: Find the general solution of the given DE 2xy^2 + 4 = 2(3-x^2y)y'

A:

Q: 7. Find the general solution of (vey – 2y³) dx + (xe – 6xy2 – 2y) dy = 0 A. e*Y + 2xy - y? = C B. ey…

A:

Q: 1. Find the solution of the DE: (D² + 2D + 5)y = 4e3t, y(0) = y'(0) = 0 using method of undetermined…

A:

Q: 4. Find the general solution of (x3 + y³) dx = 3xy² dy = Cx = Cx А. -Зx3 + 2yз В. 7x3 + 2у3 С. -бх3…

A:

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

A:

Q: 19. The solution to (2x – 4y – 3)dy = (x – 2y)dx is: a. 6y – x? – 4xy + 4y? = c b. 6y +x? - 4xy -…

A: Let x-2y=v  According to guidelines we solve only first question.  So, please again upload 20th…