2. -x+4y >- 12 A solution is:

Q: The IVP y =y cost , 0st<1, -1sysland y(0) = 1 has a unique solution Select one: a. True b. False

A:

Q: Obtain the particular solution. 9 y"-24 y'+16 y=0; when t=0,y=y'=3

A:

Q: Find a particular solution to： y''+5y'+4y=10te^(4t) y(p)=?

A:

Q: Verify whether y(x) = 2e-*+xe-* is a solution of y" + 2y + y = 0.

A: Topic = Differential equation

Q: Let y (x) be the solution of the IVP xy' -3y =x4, y(1)=2 Evaluate y(7).

A: We will rearrange the given differential equation and find a general solution of the given equation…

Q: 8. What is the particular solution of 2xyy' =1+ y², when x = 2, y = 3 ? C. y =V5x +2 d. y =3x – 4 a.…

A: Given differential equation 2xyy'=1+y2, when x=2,y=3. The objective is to find the particular…

Q: Find the particular solution of x²y" + xy' = 1; y = 0 and y'= 1/2, when x=1.

A:

Q: 6. Find the particular solution of ydx – 4xdy = y6dy; where x = 4 and y = 1.

A:

Q: Find the particular solution of x?y"+ xy' 13; y = 0 and y' = 1/2, when x = 1.

A:

Q: Specifically a differential equations problem. Question in pic below.

A: Here, y’’ +2y=-8x

Q: Solve by the subtitution method  x=3y+10 x-2y=13 (x,y)=

A:

Q: Solve the DE y'=(x+y+2)^2, y(0)=2 by setting u=x+y+2.

A:

Q: - Find the number of non negative solutions to x + y + z = 21.

A:

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

A:

Q: Show that y = 5x2 + 2 is a solution to the DE xy' +(2)/(5) y" = 2y.

A: To show: y=5 x2+2 is a solution of differential equation xy'+25y''=2y

Q: Find the general solution of the following IVP: y"- 2y' +y = 0 ,y(0) = 5, y'(0) = 10.

A:

Q: Use undetermined coefficients to find the particular solution to y''−4y=2e^−3t

A: Use undetermined coefficients to find the particular solution toy''−4y=2e^−3t

Q: Determine whether y(x) = 2e-* + xe-* is a solution of y" + 2y' + y = 0. Is y(x) = 1 a solution of y"…

A:

Q: Determine whether y=x-1 is a solution of V)'+y=-1

A: Given y=x2-1, taking derivative with respect to x. ⇒dydx=ddx(x2-1)⇒y'=2x-0  ∵dydx=y'⇒y'=2x…

Q: Determine whether yp₂ (x) = x is a particular solution of the following DE or not. y" + 4y = 4x.

A: If yp is a solution of the differential equation f(D)y=Q(x), then yp satisfies the differential…

Q: Given that d²y 2. +y =0. dx2 Show that y = x is not Solution a

A:

Q: Let y(x) be the solution of the IVP xy'-2y =x3, y (1)=2. Evaluate y(16).

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 3. Find the number of non negative solutions to x +y + z + w = 21.

A:

Q: Q3: Find the solution of x.y and z by using Gramer's Rule 2x 4y = 6 x+y+z 1 5y +72 10

A:

Q: 2. Find the general solution of d'y d'y + 12 dr Sy 21e dr

A:

Q: Determine whether yp₂(x) = x is a particular solution of the following DE or not. y" + 4y = 4x.

A:

Q: Show that y = Ce  is a solution of y" + 3y' + 2y = 0 for any real number C.

A:

Q: What is the particular solution for y′=6e^x+x^2−7x y(0)=6?

A:

Q: Find the particular solution of r*y – y y+1 ; y (3) = -1

A:

Q: (d) Solve the IVP if y(0) = ko, y'(0) = k1

A:

Q: 03) Prove or disprove that y = ce* + de ²x is the solution to y(2) + y(¹) - 2y = 0.

A:

Q: (D² – 3D + 2)y = e2×(1 + e2x)¯ -

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

Q: 4. Obtain the general solution alo? - y? - ») dk - y(x? - y?) ay = 2 = 0 |

A:

Q: Determine the value of k such that y = 4x2 – 3e2x - is a solution to x(1 – x)y" + (2x² – 1)y' + k(2x…

A:

Q: What is the particular solution if y(1)=0? 1/2 xy = y + (x² + y³)"

A:

Q: (D² – 3D + 2)y = e2*(1+e2x)

A:

Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

A: The given differential equation,1. 2ydx=3xdy, when x=2, y=1 Note:     Multiple questions are given,…

Q: a. Obtain the general solution of the following i. (4+x)y'= y³

A: Solve the differential equation using variable separable method. According to Bartleby answering…

Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x 2, y = 1.

A: Given differential equation 2ydx=3xdy and when x=2,y=1 The objective is to find the general…

Q: Use undetermined coefficients to find the particular solution to y'' + 4y' – y = 5t° + 5t + 8 -…

A:

Q: 6- Show that y = xsinx is a solution to y +y 2cosx

A: The given differential equation is: y''+y=2 cos x

Q: Given that y(1) = 1 and y'(1) = −1, find the solution to x2y'' + 2xy' −2y = 2x2.

A:

Q: Obtain the general solution. (D^3 - 4D)y = 0 when x = 0, y = 0, y' = 0, y'' = 2

A:

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

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

Q: State the general form of a particular solution to y" + 3y' – y = 3te-24. (Do not solve for the…

A:

Q: Find the general solution of (D^3- 4D)y = 0 when x = 0, y = 0, y' = 0, y'' = 2

A:

Q: 6- Show that y = xsinx is a solution to y= + y = 2cosx

A:

Q: Show that y = c1ex + c2e-x + c e + 3 is a solution of y ||| -2y | | - and | + 2y = 6 (justify).

A:

Q: Consider the following IVP: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b Find the solution.

A:

Q: 3- Prove that y=x is a solution of (x³ + 2x?)y"+ 2xy'- 2y = 0 and hence find the general

A: