Find the general solution by substitution or elimination Q6 A: = x -2 y +t di =x- y +2t *= -y + 3e^-t x(0) = -1 2х + 3у y(0) = 1 %3D dt B:

Q: Solve for the general solution: (D² + 2D - 8)y = C O y = cle^(4x) + c2e^(-2x) O y = cle^(-4x) +…

A:

Q: Differentiate. x4 y: 3 — х3 y' У -

A:

Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3…

A:

Q: Find a real general solution 5x^2 y"+23xy′+16.2y=0

A: Consider y=xm and solve using this substitution to obtain the required general solution.

Q: Differentiate: y = V6x8 4x6 - y' = (16z" - 8a") (628 - 42°)2 %3D O y = 48z7-24x5 (6z-4z ) Oy = (4827…

A: We have to find derivative

Q: 1. 5х2у" + 23ху' + 16.2у —D 0 2. х?у" + 0.7ху' — 0.1у %3D 0 3. х2у" — 0.7ху — 0.1у %3D0 |

A: Given

Q: 1- 3t - 2 t+1 - dt

A:

Q: (r2+2rt-4t2)dr-(r2-8rt-4t2)dt=0

A:

Q: Solve the equation xydx - (x + 2y)2dy = o A ewy = cy³ (xy) B ewy = c y³ (x-y) c) exy = c y³ (x+y) D…

A: Given : Note : There is a print mistake in the given equation it must be written as : Differential…

Q: t-1+2 dt

A:

Q: Solve (D2+20D+200)y = 10 O y = e-10x (c₁sin10x + c₂cos10x) + 20 Oy=e-10x (c1sin10x + c₂cos10x) +…

A: Given

Q: Solve xy^1=1, x=1, y=4 Select the correct response: O y=Inx+4 O y=Inx-4 O NONE O y=Inx+3

A:

Q: Differentiate: y = (3x 교-5z) (4n3 +2) O y' = 60a + 80a- 12a 10 - O y' = 60x + 80a + 12x O y' = 60x4…

A: Let's find.

Q: -4 -3 2 -1 -1 4 -2. -3+ y = x2 - 4 A y = x2 - 4x y = x'- 4 y = 23 4x - ©2021 Illuminate Education…

A: our answer is y=x3-4x

Q: solve y′′+2y′+y=5t^2 using the Method of Undetermined Coefficients

A:

Q: Differentiate y = (2х + 1) а. 2 y = (2х + 1) b. 1 y = 2/(2х + 1) 1 y = (2х + 1) d. y = (2х + 1) е.…

A:

Q: Ify= (x³ + 1)“ , theny = ? (A None of the given choices B(3x2)? © 2(x³+ 1) O 6x²(x³ +1) E 2(3x² + 1)…

A:

Q: А сurve bas equation y%3 (x+3}x* -3х+6). Explain wһу у%3(х+3Xx*-3х+6) is always positive for x>-3.

A: The solution is :

Q: Determine the solution of the following differential equations: D8-6D6 + 2D5 + 11D4-10D³ - 14D²+ 8D…

A:

Q: What kinds of changes occur in the Coefficients of a Nonbasic Variable when the original model is…

A: Answer is explained below

Q: let y = -3 x¹-2x, find y' -12 x4-2 -12 x³ -2 Onone of these answers O-4x³ - 2

A: Given: y=-3x4-2x

Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

A:

Q: x3/2 9. J Tx+1

A:

Q: (D² + 6D + 7)(D3 – 5D² + 6D)y = %3D

A:

Q: SOLVE THE ODE y''+9y=xexp(3x) + 6

A: Step 1: Step 2:Step 3:Step 4:

Q: c) rx+qx-d3 ge (e) zx 5g(2x-c)

A: Use basic algebra

Q: 9(x, у) %3D In(x3 + y) a²g дх ду

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.