Example 4: y=12xsin 2x Solution :-

Q: 10. Solve IVP: 3y" + 2' + y = 2e ', y(0) = 1, 3/(0) = 0. -t

A: For given differential equation,   We have to find solution with given initial values.

Q: Solve the initial value problem 2x y(0) = -2. y + x?y

A: The solution is given as

Q: a) Give a particular solution for y" – 2y' + y = 3e*.

A: According to company rule we can answer only first question and rest can be reposted.

Q: Solve. X+y +z = - 11 2x + y-z = - 13 X-y +z = 1

A:

Q: solve (D^3-3D^2+3D-1)y=x^2(e^x)

A: Solve the differential equation:  D3-3D2+3D-1y=x2exD-13y=x2exy=1D-13x2ex   y=1D-13x2ex  =ex1D+1-13x2…

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

A: Here, y’’ +2y=-8x

Q: Exercises: 1. Show that y=3e-e is a solution to y"-4y-D0

A: Explanation of the answer is as follows

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

A:

Q: What is the long term behavior of the solution with the initial condition (-2, –1)? -3

A: Since, at point x=-2 and y=-1 present in the graph having the phase portrait curve as decreasing to…

Q: Example: Solve: y' + 3y = e' (1) By Integrating Factor Method:

A: Given data:   The given differential equation is y'+3y=et.   The standard expression for the Linear…

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 general solution of " – y – 2y = e2t

A:

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

A:

Q: у" — у' — х %3 0

A:

Q: Give a particular solution for y" – 2y' + y = 3e*.

A:

Q: Solve for Yp * y" – 9y = e3x

A:

Q: he general solution of y" +

A:

Q: (x'(1) Exercises: 1- Solve 3 Yx(1) 2 y(1))

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

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: () Find the solution that satisfies Y(0) 1

A: We will find out the required solution.

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: If the solution of y' = 2(2x - y) passes through the point (0,1), determine x when y = 7.

A:

Q: What is the solution of y2 - x2y'=0 with IVP y(1)=1/2 ?

A:

Q: 3. Solve the DE: Y'=e2x+ 3y.

A:

Q: Find a general solution of y" (-2-2 i3)y. y(x) =

A: The given differential equation is  y'' = (- 2 - 2i√3)y or, y'' - (- 2 - 2i√3) = 0 or, (D2 + 2 +…

Q: Eliminate the arbitrary constants of the general solution: В y = Ax3 + + CVx x2

A:

Q: 3y = 3xy' + y'3

A: Solution: Here 3y=3xy'+y'3 Divide both sides by 3 y=xy'+13y'3   ......(1) Let dydx=P Then from…

Q: Find the general solution to  y''+ y' = 1 + 2sin(2t)

A:

Q: 1. t23 Work Solution 2. 16x| 14 Work

A: NOTE: Refresh your page if you can't see any equations. . apply absolute rule  so here we can write…

Q: 23. (1.4) Solve y +2 = (4x + 2y + 6)-'e2«+v+3.

A:

Q: y' +(E- 1)y ==

A:

Q: Solve y+2+ 2yn++Y =n with Yo 0 = y,.

A:

Q: Exercises: 3. Determine whether y=x-1 is a solution of (v)+y=-1

A: Topic:- derivatives

Q: ty" + 3ty + y = 0

A:

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

A:

Q: 4. Solve the IVP y' = 2x-3y +e¯* y'= 2x- 3 y +e * with y(0) = 1 y(0)= 1

A:

Q: y' = - 2xy

A: The given differential equation is y'=-2xy⇒dydx=-2xy The given differential equation can be solved…

Q: y' = (4x + y)?

A:

Q: HiW.2 DE solve y=ソ-4y A.e |-4y

A:

Q: Find the general solution of y(5) – 2y" – y' = 0

A: The given differential equation y(5)-2y'''-y'=0

Q: find general solution to y''+y'+y=2xe^x

A: on solving the given differential equation by indeterminate coefficient method we will get the…

Q: solve : y" – 3y" + 2y = e 2x 1+e*

A:

Q: solve the initial value problem  y' = (xe^(-2x))/(2y-4) , y(0) =1  thanks

A:

Q: Example 3: Solve y" - 3y' - 4y = 3e2x + 2sinx. Solution:

A:

Q: Find the particular solution to y''-y'+y = 2sin(3x)

A:

Q: find the general solution of y''+2y'-3y=(5x^2-7)e^-x

A:

Q: Give a particular solution for y" – 2y' + y = 3e*

A:

Q: 1. Solve [6x²e*, 35x-3,x>0 ,x<0 [w(x)dx if w(x)= а. b. 3cos 2xsin 7xdx

A: we have to solve the following Integration ,  a) ∫-11w(x)dx if w(x)=6x2ex3,x≤035x-3,x&lt;0b) ∫3cos2x…

Q: Find the general solution of y"+25y=sec(5x)

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.