The solution of the IVP y"-3y'-4y 0, y(0)3D0, y'(0)=5 is: Select one: a. V= - e 4t + e b. y= e 41 - et C. y = et - e-t d. y = - e4 + e-t O Shot by Hisense H12

Q: . Solve: (6x + 1)y² + 3x² + 2y° %3D dr

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Q: 1. (D2 - 6D + 9) y eir %3D

A:

Q: a. y" + 2y + y = 2t² e¯¹

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Q: Solve the following equation: ye®Y dx + (xe*Y + 2y)dy = 0 1. xe®Y + 2y? = c xe®y + y? = c 3. ey +…

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Q: (x-2)² + (y+1)² =16, find- A. 16 (y+1)³ d²y dx² B. 16 (y +1)³ C. 16 y³ D. 16(x-2)² (y+1)³

A:

Q: The initial concentration of phosphorous (C) in a waste water pond is 107 ppm, as against the…

A: (ii) Consider dCdt+0.06C=0⇒dCC=-0.06 dtIntegrating both sides we get⇒∫dCC=-0.06 ∫dt⇒log…

Q: Guess a solution of the equation: y" + 8y' + 5y = 3. ' means d. y =

A: We will find out the required general solution.

Q: Solve this linear IVP,        xlnx dy/dx + y= 2lnx,                           y(e)=2

A:

Q: d'y If y = e, then dz2 A) 182 e= B 9x e2 (6z + 3=*) e (6z + 9z*) e* 9x*) (D 6x +

A: We can find the correct option as below.

Q: 3) + 2x³y = y³x3 dau

A:

Q: y = x - 2 y InU

A: The slope intercept form of the line is given by y=mx+b where m is the slope and b is the y…

Q: Kindly answer B- #6 I- #1

A:

Q: Solve : (6x + y) dx + y(2x – 3y)dy = 0 xự + 3x? – = c 3æy – 3x? – y = c | - Option 1 Option 2 xy +…

A: We have to solve

Q: - 9x²y² = 3x²(1 – 3y²) + 3y dx3

A:

Q: -zy=0

A: Topic- Differential Equation

Q: Find a particular solution to y" + 5y + 4y = -10te". Yp =

A: Given the D.E. y''+5y'+4y = -10te3t We have to find particular solution yp of this equation.

Q: Solve: (x+y)dy-(x - y)dx=0 A. x² - 2xy-y²= B. x² + 2xy + y² =c C. x² + y² =c D. x² - 2xy + y² =

A: The given equation is(x+y)dy-(x-y)dx=0 To solve the differential equation.

Q: The distance from the point S(1,1,0) to the line 3t, z = 2 - t is -T = 1- 2t, y = %3D |3D اخترأحد…

A: Givne that  The point S(1,1,0) line x=1-2t,y=3t,z=2-t To find distance from the point to the line

Q: Find a particular solution to

A:

Q: 7. Solve: dy x + 3y d.x 3x + Y

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Q: The particular solution for the equation: (d2y/du2) + (dy/du) + y = e3u yp(u) = ? a) (1/11)e3u…

A:

Q: Given y1 = Vi a solution of 4t²y" +y= 0. Find a second independent solution.

A:

Q: у (9х — 2у) dx - x (6x = y) dy = 0 -

A: Given:- y (9x - 2y) dx − x (6x — y) dy = 0 To find:- Solve given differential equation when x=1, y=1

Q: 1. х2у" — 20у%3D 0

A:

Q: solve

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Q: Eliminate the arbitrary constants on the given equation: y= Ae" + Bre 2y +y=0 O y =-y" + 2g

A: The given equation is y=Aex+Bxex. We have to eliminate the arbitrary constants.

Q: ifr = 8 sece then the cartesian equation is x^2+y^2=8 O x-8 O y=8 O Non of the above O…

A:

Q: 2. Clabsify the follouing equations () 2 au + 4 + 3au + 4 du + 424- hexe えレーム it2 xe. me + t (vi) 2…

A:

Q: 5. Solve: 4xy2(3x³y – 5xy) = 0, Let y = 2 %3D

A: A detailed solution is given below

Q: Solve (1+y)dx + x y dy = 0 A)- B)+e D)

A: The given equation is 1+y2dx+xydy=0 Rewrite the equation as 1+y2dx=-xydydxx+ydy1+y2=0dxx+ydy1+y2=0…

Q: 4dx + (x — у + 2)?dy %3D 0

A:

Q: Find the general solution to(D5 - 2D3 – 2D2 – 3D - 2)y=0

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Q: + 12D + 36)y = 0 5. (D³ + 3D² + 3D + 6 (D3 AD3

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Q: Solve the following equations: 1. (D-D2-2D)y = 0 2. 4Dy-13Dy + 6y = 0 3. D'y - D'y – Dy + y = 0 %3D

A: On solving ist three questions we will get

Q: Solve the I.V.P: dy 1 = 6y°x; y (1) = dx 21 1 y = 24+3z2 1 3z2-24 1 y = 24-3z 1 24-3z? నా నా

A: To find solution of IVP

Q: Determine u and du. Show solution

A:

Q: y"- 5y + 4y ez.

A: Use second order ordinary differential equation rules

Q: Evaluate / (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (7, -5)

A:

Q: 2 ( D° _ 2D - 20 - 3D - 2) y = 0 = 9

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.