x = e-7t and y = 6e2t + e-3t – 4t

Q: 1- y = -y² 2yt+1 2rv y(1) = -2

A:

Q: y = e3x-2y +x² . e 2y

A:

Q: y ý – 2X e 1/2 2 (У+4) II

A:

Q: 1. (D²-5D+6)y = 2e

A: This is a problem of differential equation.

Q: Find the general solution  (D2 − 2D − 3)y = 0 when x = 0, y = 0, y′ = −4

A: The given equation is,D2-2D-3y=0with the initial condition,x=0, y=0, y'=-4

Q: y" + 2y' – 15y = e3x %3D

A: We find particular integral by inverse operator

Q: y = (kx + b)−1/2

A:

Q: d) 2х3у + e2y — 4х + 5x2. e) y = (2x* + 4)*x %3D

A: We have to find the derivative

Q: y" - 10y' +9y=e⁹t ;y (0) = 1, y' (

A: Given,           y''-10y'+9y=e-9t; y(0)=1, y'(0)=1

Q: Q3 المطلوب ایجاد حل المعادلة التفاضلية التالية باستخدام تحويلات لابلاس: y" - 3y' + 2y = 4e2x, where…

A: Given that  The differential equation  y''-3y'+2y=4e^(2x)

Q: 3t y" - y' - 6y = t²e³t - 4t², y(0) = 0, y' (0) = -1

A:

Q: solve for (D³ -9D)y=0

A: If roots m1,m2,...,mn of the auxiliary equation is real and distinct then complete solution is…

Q: S₁ y² – 3ydy 11

A:

Q: (D2 – 1)y = 2e-*(1+e-2*)-2, %3D

A:

Q: Solve y(4) – 3y" – 4y = x² + e2x .

A:

Q: Cco s 2x -2) Differentiate y= 3x e 2.

A: The objective is to differentiate y=3x2ecos2x-22

Q: 3 -3x (0°+ 4D* - 30- 18)y= 24 x e

A:

Q: (D2 – 4D + 4)y = e3x

A: Given ODE is: (D2-4D+4)y=e3x

Q: 2 X 2.(D²-4D +4)y = x

A: find find its auxilary equation then find its complementary solution then find particular solution…

Q: x² + 1 If y then y' will be = 2x – 3ex'

A:

Q: x- y- 2z =-6 3x + 2y = -25 -4x + y - z = 12 Q12:

A: We have to solve the given equation.

Q: y′ = e2x + y − 1

A: Given,

Q: (b) y" =-6y²y', with y(1) =1 and y'(1) =-2.

A:

Q: (d) y" – 6y" + 11y' – 6y = e2" (5 – 4x – 3a²)

A: Given  A non homogeneous differential equation in question 2. D.

Q: y² + 5 dy y²(y² + 25)

A:

Q: Find (4z² + 3z")dz -1

A: In this question, we need to find the integral of the given function.

Q: E. Find x²+y = 4 %3D

A: x2+y2=4

Q: Find the general solution: y" + 3y' + 2y = 4e^x

A:

Q: y' = e2x + y – 1

A: Using method of linear differential equation.

Q: x = 4t – t°, y = 2 – 3t

A: We have the parametric equation: x = 4t - t3 ........................... (1) y = 2 - 3t…

Q: z = = 9x°y° dz = %3D

A: Given that z=9x8y6To find :  dz Solution…

Q: y" + 3y' + 2y = 0

A: Given the differential equation is y" + 3y' + 2y = 0. Here the auxiliary equation is m2 + 3m + 2 = 0

Q: Find x and y. C 2у — 4 - В 4x D 木 A

A: Given figure is parallelogram.

Q: y-z = 1 3z = 2 If possible,

A:

Q: The Yp of (D²+D) y=20

A: Given (D2 + D) y = 20 To find yp(x)

Q: y"-2y'+y = e* Inxr

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

Q: x-4y=5 and y=Bx+24

A: Given:

Q: y=−3x−1   m=  b=  (0,___)

A: The general equation of a line in the slope-intercept form is given as, y=mx+b where m is the slope…

Q: y" + 6y' + 9y = 7+ e-4x

A:

Q: (x²–16)3/2 dp-

A:

Q: y = -1+t, and z = 2+3

A: Consider the parametric equation: x=1+2ty=-1+tz=2+3t Consider the given plane: 2x+3y-4z=6 Now…

Q: y" - 6y' +9y = e", 3x У (0) -1. у(0) -0

A:

Q: x2 + 4y2 + 322 = 3 дх ay

A:

Q: 3. (4D +4D2 + D)y = 0. 7. (4D3 - 3D+ 1)y = 0.

A:

Q: y" - y' - 6y=t²e³t — 4t², y(0) = 0, y' (0) = -1

A:

Q: y" - 4y' =t+ 3cost + e -2t

A:

Q: 1: 4t² y" +8ty + y = 0 2. 3t² y" - 2ty - 2y = t² - 3t

A: We can solve the given differential equations. Note: As per our Guidelines, we can solve first…

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

A:

Q: +2az+t D2 +(a+1)t%3D0

A: Matrix: 2x-y+2az+t=22x-y+(2a+1)z+(a+1)t=0-2x+y+(1-2a)z-2t=-6Here…

Q: de J( - 2)V- 4x + 3

A: