+ c2€ X. 1. y = x + C, e* + Cz e y = c, e2x + c2 e³*. 2. btain the general solution.

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

A: Solution of the differential equation

Q: he solution of the IVP y" - 3y' - 4y = 0, y(0) = 0, y'(0) =5 is: Select one: O a. y = e4t - e- O b.…

A:

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: (x) y(2) =4 %3D

A: We will use the given condition to find the solution of the given differential equation

Q: Determine if y(x) = e-3x is a solution of y" + 3 y' = 4y

A:

Q: Determine if y=e2x −x+1 is a solution to y′−2x=−3+2y.

A: The given differential equation is  y′−2x=−3+2y.The solution of the deferential equation is given…

Q: Find the solution of y'' (x) = y(x) that fits in origo and goes through the point (ln2,(3/2) )

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Q: Rel Work Solution y36/5 y=-4/5

A:

Q: Which of the following is the general solution of the DE y" - 12x?? a y-x- Cx +C b. y-+Gx + C, C…

A:

Q: Find the general solution to y = -e*y² + y +e²

A: Given first order differential equation is solved by using integrating factor.

Q: Find the particular solution (D² + 4D + 4) y = 0 when x = 0, y = 1 and y' = -1 What is the general…

A:

Q: Obtain the genral solution. (D3 + 5D2 + 7D+ 3)y=0

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Q: Find the General Solution: (D2-1)y = (1-e2x)-3/2

A:

Q: Find the general solution to y'" +(2) y' + (-8) y = 6 e31. a. None b. ー4-t+C2 e2t+ 7 6.e3 t C. 34 e3…

A:

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

A: Using Method of Laplace Transform to solve IVP

Q: 5. Find the Solution: y" + 2y' + y = cost y π y (²₁7) = 1 y' y'(-7)= = 2

A: Given that y''+2y'+y=cos t To solve the given differential equation.

Q: 2. -4 y= 글x + 1 y = + 6 m = m = 23 4 5 주. . t. 5. 9. b = b = SOLUTION:

A: The equation of a line is given by y=mx+c in one form. The other form of a line is given by ax+by=c.…

Q: W/Solve the follow ing syatem of nonlinear equation using Direct methods. 2x +y2-6 0 x+2y-3.5=0…

A: Given equation is                                       ellipse, 2x2+y2-6=0straight line, x+2y-3.5=0…

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

A: The given differential equation: y''-3y'-4y=0...(1),y(0)=0,y'(0)=5 The auxiliary equation of (1) is:…

Q: b, y" -zy'-3y= e*

A:

Q: xy=20 x2+y2=41 Solve nonlinear equations

A: Solve the given nonlinear equations as follows.

Q: ) Verify that y=e-2x is a solution of equation x(y")3+ (y')4 – y = 0

A:

Q: Determine the type of DE/method of solution to be used and solve. y′ = x3 − 2xy, when x = 1 and y =…

A:

Q: Find the particular solution. y' = e* - 4; y(0) = 3

A: For a differential equation, there are two parts of solution. one is the complimentary function…

Q: Q10) The general solution of y+2y"-y-2y = 0, is: a) y(x) =ce²+₂*+* b) y(x) = c₂e-+6₂8 Q11) L(y") =

A: Solution :-

Q: Check that y Cx) = e* is the Solution of y" + y' - 2y = 0

A:

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: (D² – 3D + 2)y = e2×(1 + e2x)¯ -

A: Given: D2-3D+2y=e2x(1+e2x)-1 Formula used:y=yh+yp

Q: The solution of the IVP y" – 3y' – 4y = 0, y(0) = 0, v'(0) = 5 is: Select one: а. y = e4t - e-t O b.…

A:

Q: Consider the following IVP: y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0 Find the general solution. y(t) 31…

A:

Q: Find the general solution Ans. y=(C1+C2x)eX+e*

A:

Q: Find the particular solution. y' = e = 8; y(0) = 7

A: Given Data: Differential equation: y'=ex-8 ......(1) Initial condition: y(0)=7 Integrate the…

Q: HiW.2 DE solve y=ソ-4y A.e |-4y

A:

Q: Which of the following is the general solution of the DE y" = 12x? a. y-x*- Cx + C b. y-+ Cx + C c…

A:

Q: The solution of the IVP y"-3y-4y 0, y(0)=0, y(0) =5 is: Select one: a. y=-e4 +e O b. y=e -e ye-e d.

A:

Q: Find the general solution to x*/ = x*y – y°.

A:

Q: Two solutions of y"-2y'+y = 0 are e^-x and 5e^-x. Is the general solution y = cle^-x + c25e^-x?…

A:

Q: Find the general solution to y'" +(-2) y' + (-8) y = 2 e3t. a. 18 e3t 5 b. "y=C, 'e-21+cz'e*t 12 e3t…

A:

Q: Solve the second order equation (d2y/dx2) = -my  with the boundary conditions y(0) = y(L) = 0, x⋲[0,…

A: Given the second order equation is d2ydx2=-my

Q: Two solutions of y"-2y'+y = 0 are e^-x and 5e^-x. Is the general solution y = cle^-x + c25e^-x?…

A: Given data,y''-2y'+1=0We have, (D2-2D+1)y =0The auxiliary equation is m2 -2m+1 =0 ⇒m= 1,1When the…

Q: 11 y" - 4y = x? e3x

A: We have to find the particular solution of the differential equation y''- 4y=x2e3x .

Q: The particular solution of y' +y = y² when x = 0,y = 2

A: Using variable separable method

Q: Find the solution. y' = 5y + e 2x y2, y(0) = 2 -2х 139е 15 — Зе - 3e -2x \1/3 A y = 17 15х 19е 15x _…

A:

Q: Q3/ Let x,y E N, If x,y e E then x+ y e E.

A:

Q: (y-7) dy 4 (y+3)3

A:

Q: 4. Solve (x-2)y" - (4x-7)y' + (4x-6)y= 0, if y₁ = e2x is one known solution? HO The Cystem 2e²t

A:

Q: 7. Find the solution of y' -= a. y = ce x - 3 y = ce*+; — се х 3 с. у%3D сех 3. d. y = 1 — сех +. 3…

A:

Q: Consider the following IVP: y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0 Find the general solution. y(1) =…

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Q: 3x+xy? when y(1) = 3. y+x?y Find the particular solution of y'

A: First order non linear ordinary differential equation, solving by separating the variables.

Q: Find the general solution to y" +(-1) y' + (-6) y = 6 e4!. a. y=C,•e-21+c2•e31+5-e4t b.…

A: