What guess would would make for the particular solution to the linear, non-homogeneous d'y dy +10 + 25y = 5e-5t dt dt Your answer should have letters like "A", "B", etc. in alphabetical order. Be sure to preview your answer before submitting. (t)

Q: d²y Solve the particular solution for = 2 – 4x when points (0, 2) and (-1, 3) are on the dx2 curve.

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Q: a. y" + 2y + y = 2t² e¯¹

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Q: 1. Determine the degree and order of the following D.E. 3 − y (dx)³ = a. b. x d²y dx² 4 = 4 5 + -…

A: The given differential equation is, a.xd2ydx2-ydydx3=4. b.d3ydx34+dydx5-y=0. c.y''2+4y'+3y=x. The…

Q: 2. x²y² = 3y' +1 dy %3D dx

A: Please refer the attached image for complete solution.

Q: Homework (Reduced to homogenous +Linear) dy х-у+5 dx x+y-1' dy 2х+2у+1 dx 2x+y-2 1. 2.

A: 1. Given differential equation is…

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: d³y d?y dy = y + 4 а. dx3 dx² dx d³y d²y dy b. dx3 — у+4 сos xх dx dx² d²y_d²y dy С. dx³ —D у+4сos y…

A: As we know that; The standard form of the linear differential equation is:…

Q: 9. S(1+3t)t²dt 10. S(2t2 – 1)² dt 11. fy²ydy

A: 9) Given integral is: I=∫1+3tt2dt Simplifying it: I=∫t2+3t3dt

Q: 1 S3 + vx + dx =

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Q: 8. (e* sen y + 3y) dx – (3x – e* sen y) dy = 0 %3D

A: Exact differential equation

Q: t4+9 Evaluate Jo 74+9t² dt - Evaluate S7 x3. Cot-1x dx

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Q: dy + 2xy = 0 dx

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Q: Classify the equation as separable, linear, both, or neither.

A: ydydx=2x+y

Q: solve D.E. by using Linear (y? + 1)dx + (2xy+ 1)dy= 0

A: See the attachment

Q: -zy=0

A: Topic- Differential Equation

Q: 35. (10-6y+e-3) dx-2dy-0

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Q: x^2+3y^2+4y=19; dx/dt=7 when x=2 and y=-3; find dy/dt dy/dt= simplify the answer…

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Q: Which of the following equation is symmetric with respect to a- axis, y - axis and Origin. O 3x2 –…

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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: B. Find the x and y of the following equations. 1. (x + jy)² = 5 + j3

A: Solution

Q: Equation xdy + ydx = 0 y"-3y" + 3y + y = 0 (y)¹/² = √/(1+y")4 Order Degree Kind IV DV

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Q: 7. (2x + y + 1) dx + (4x + 2y + 7) dy = 0

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Q: solve

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Q: Find dy at the given point. dx 17) 5xe9y= 12; (1,0) 18) x2 + 3y2 = 13; (1, 2)

A: Given that, 17)  5xe9y=12; 1,018) x2+3y2=13; 1,2 Find the derivative. Here we use the…

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

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Q: State the order and determine whether the equation is linear or non-linear. 피(음) + ()' (d²y dy - y =…

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Q: 2)8 Sx' 1- x dx

A: Indefinite integration

Q: 22. P = 1 1 01 00 1 A = 500 03 0 00 1 2 A' = 5 22 0 32 001

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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.