y =-x² +2x+7 y =-2x +2 → Solution(s): %3D S y = x + 2x –3 %3D y= 2x+1 %3D → Solution(s):

Q: 4. Find the particular solution of xy' – 2y = -x ; when x = 1, y = 5 a. y = x + 4x² b. y = 2x + 3x²…

A: xdydx-2y=-x⇒dydx=-x+2yx⇒dydx=-x+2yxPut…

Q: y=x+1 xy=6 x1=__   y1=__ x2=__   y2=__ Use the substitution method to find all solutions to the…

A:

Q: 2x 3x The DE whose general solution is given by y = x²+c,e*+C2e is © y" - 5y' + 6y = 6x2 – 10x +2. |…

A:

Q: dy X -2= y² - 3y dx

A: We use variable separable method to solve the given differential equation.

Q: 2. obtain the general solution. a.(D² – 3D + 2)y 2x- 9x + 6x. b.(D + 4)y = 5e - 4x. c. (D² + 4)y = 5…

A: (b).   The given differential equation is: (D2+4)y=5ex-4x

Q: Solve the equations 3x + y + 2z = 3; 2x – 3y – z = 3; x + 2y + z = 4 Using Gauss Elimination method

A:

Q: x′ = xy y′ = x + y2 - 4 What is the shape of the nullclines of the system and how many equilibrium…

A:

Q: The solution of zy'-y = 2x3, y(1) = 3 is (A) y = x+ 2x (B) y = x2 + 2x (C) y = x2 + 3x %3D (D) y =…

A:

Q: 2 Find the particular solution of y' +y = -x°y5 ; У(-1) %3 2

A:

Q: Obtain the general solution C. (D2 + 2D + 2)y = e-x

A: Obtain the general solution C. (D2 + 2D + 2)y = e-x

Q: Obtain the general solution. (D4 – D³ – 3D2 + D+2)y=0 O y= Ce* + C2e2x+ e¬*(C3+ Cax) O y= Ce-*+…

A: Solution is given as below:

Q: Q. No. 11 The solution of the DE 3ry" + y – y = 0 (a) yı = x³[1 – x + a² + ...], 42 =1+x – 2x² + ...…

A: It is given that

Q: Find the general solution of (D3 – 2D2 + D)y = x

A: (D3-2D2+D)y=xlet D3-2D2+D =0D(D2-2D+1)=0D(D-1)2=0 D=0 or D=1,1Therefore C.F.=C1+C2ex+xC3exnow we…

Q: The solution of y = 5y + e 2"y2, y(0) = 2 satisfies:

A:

Q: 6. Find the solution of dy = (y² – y)x². dr

A: Definition used -          The solution of the variable separable differential equation-…

Q: 4. Find the particular solution of xy' – 2y = –x ; when x = 1, y = 5 a.y = x + 4x? с. у %3D х — 2х2…

A:

Q: (2x + 3y + z = -1 Зх + Зу + z %3D1 (2x + 4y + z = -2 Give the solution of

A: We can find the answer using Gaussian elimination method as below.

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A y = x-(1 – e!-*) B x = y-(1 + e!-x) 2y = x³(1 + e!-2)…

A:

Q: Find the general solution of (xy² + x²)dy + a. 3xy + y3 = C b. 3xy - y3 = C xydx = 0 с. -Зху - уз с…

A:

Q: Find the particular solution of y''-5y'=x-2 when x=0, y=0, y'=2

A: Given that that a non homogeneous differential equation and we find its solution.   Here i attached…

Q: Y'-2Y'- 3Y = E2X + 3X2 + 4X – 5 + 5COS(2X) SOLUTION BY D- OPERATOR METHOD

A: The given differential equation is,Y''-2Y'-3Y=E2X+3X2+4X-5+5COS2X

Q: 500 y = e600Xis a solution of Select one: а. y = - 600y %3D O b. y = 600y C. y = 800y O d. y = -…

A: We have given solution of differential equation  y=e600x ....(i) So  y'=dydx y'=600e600x y'=600y So…

Q: 2y 4+ 3 xr 20 4 Find the solution set ((x,y)} of the system 2. 3y 2.

A: Given: 4+2y3=-x2                                         ..1x4-20=3y2…

Q: Solve the system analytically. 4x+ 4y-16z 4x + y- =D 8 %3D -x- y + 4z = 3 %3D co co

A:

Q: Find the solution using Gaussian elimination: w + 2x − y + z = 6 −w + x + 2y − z = 3 2w − x + 2y +…

A:

Q: Find a particular solution to y"+3y'+2 y = x² - 3.

A: Given that,         y"+3y'+2y=x2-3  ⇒D2y+3Dy+2y=x2-3 Where, D=dydx ⇒D2+3D+2y=x2-3  Let, FD=D2+3D+2…

Q: y" + 2lf + 2y = 0, y(0) = 1, f(0) = 1 he solution as a linear combination of y, and y2-

A:

Q: what is the general solution of y (1 + 3x ) y - v ? Oy = 4 + 3x + Ce %3D = 4 +3z + Ce" 4 + 3x + Ce…

A:

Q: Particular solution of y' = x+xy²/4y, y(1) = 0

A: Given differential equation- y'=x+xy24y   , y(1)=0 We need to find particular solution of the given…

Q: The solution of xy' – y = 2x³, y(1) = 4 is (A) y = x³ + 2x (B) y = x² + 4x %3D (C) y = x² + 3x (D) y…

A:

Q: What is the solution of (2x - y)dx + (4x + y– 6) dy = 0? а. (x+у-3)°- с (2х +у- 4)? b. (x-y+3)²=…

A:

Q: What is the general solution of (x2- xy + y2)dx – xydy = 0? %3D A. (x- y)ey/x = c B. (x- y)e*/y = c…

A: To find the general solution of the below differential equation. x2−xy+y2dx−xydy=0

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 y = x-2(1 + el+*) Bx = y-(1 + e'-") y = x-(1 - e'-) D…

A:

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A y = x-2(1 + el+x) B x = y-(1 +el-x) © y =x-'(1 -…

A:

Q: What is the general solution of y' = y2 - 3y + 2? %3D A ce (y-1)= y- 2 B e+x y-1 y- 2 y-1 = (y-2) c…

A:

Q: The solution of the IVP y"-3y'-4y 0, y(0)3D0, y'(0)=5 is: Select one: a. V= - e 4t + e b. y= e 41 -…

A:

Q: Q.1 Using the method of elimination, find the general solution of dx = yt - the system - yt-2x dr

A:

Q: Find the solution. (D2 - 2D - 3)y = 0; when x = 0, y = 0, y'= 4 A y = -e-3x – e 2x (B y = e¯+e3x y =…

A: Given differential equation is,   D2-2D-3y=0; y0=0,y'0=4⋯⋯⋯⋯1

Q: 2. obtain the general solution. a.(D - 3D + 2)y = 2x – 9x2 + 6x. b.(D2 + 4)y = 5e - 4x. c. (D² + 4)y…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Is y = 1/(x + C) a solution to y' = -y^2?

A: To solve the following differential equation.

Q: Find the particular solution of y" + 2y' – 3y = 0 when x = 0, y = 0, y' = -4. %D

A:

Q: (Find the general solution of the system 4 -2 x(t) + 1 dx(t) dt

A: The given system is: x'=4-211x+t1x'=Ax+g(t)

Q: The solution of cy' – y = 2x3, y(1) = 3 is %3D %3D (A) y = x3 + 2x (B) y = x² + 2x %3D (C) y = x² +…

A:

Q: The particular solution of y' - y = -x when x = 0, y = 3 is a. y = 2x + 3e* + 2 b. y = 3x + 2e* + 1…

A: This question is based on first order differential equation.

Q: What is the General Solution of (2 y³ – x³) dx + 3 x y² dy = 0 ? A 5 x3 y 2 = x5 + C В 5 x2 y 3 =…

A: Topic :- Differential equation Correct option = B