メ y= Ce + C,e , (-0∞, 0); g- y = 0, Y(0) = 0, y'o) = 1 %3D %3D %3D f=メ, f,0 =メ)f 11 2. A 4x-3x %3D (X) = ) Y'- 7y'+ 1oy = 2ue" ; Y = Cgé 2x 5x *+ 6e, (-∞o,) Ce + 5x Y -25y =D0; Yz=ē ) y"- Uy'+ 3y = Xj Yq =e 131 メ

Q: 4. y(2x2- 2x - y)dx + xy dy = 0

A: We will solve the problem

Q: y" +2y = 2x+5-e-2r y""-6y"=3-cosa

A: These questions are about ordinary differential equation.

Q: y" + 5y' - 4y = 0

A: SOLUTION-

Q: (D 3)²y = e*.. %3D

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: xy2 y' = ey + sin y dy = dx x+y y' = x2

A:

Q: (16x + 5y)dx + (3x + y)dy = 0 the curve to pass through the point (1,–3) %3D

A: The solution of the problem is given in the next steps.

Q: y"-9y'+18y=0

A:

Q: у"" - 8y" + 41у'- 234 е 3х, у"(0) %3D 187, у'(0) 3D 29, у(0) 3D 10 3x.

A: Now we solve this below

Q: 4 Solve for the general Solution : 3x²ydx + (y* – x³)dy – 0 Select the correct response: ,3 4. O x°…

A:

Q: dy y(x + y) dx 6) x(x – y)

A: Note : We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: (xy^2- y^2+x-1)dx + (x^2y-2xy + x ^2+2y-2x+2)dy = 0 Start by using seperable equations.

A: given a differential equation,here need to solve this differential equation by seperation of the…

Q: find all values of unknowns which satisfy the following equations: 1. (x, y, z) - 3(-1, 2, I) = (0,…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: В. NON-HOMOGENEOUS HIGHER ORDERED LDE 1. (D3 + 5D² + 3D - 9)y = 64x²e-3x 2. (D³ + 13D - 34)y = 25x2…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: x' Construct the phase plane for the points (2,2), (2,0), (2,-2), (0,2), (0,-2), (-2,2), (-2,0) and…

A: According to questionWe have to draw the phase plane for the given points.

Q: y 3. y'= ✓ {yln(y)-x=cy} x + y

A:

Q: 24. у (2х —у + 2) dx + 2(х — у) dy %3D0

A:

Q: Find the general solution of the D.E. (y^2 - 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your…

A:

Q: DETERMINE SOLUTION OF 1 x dy dx + y = x² + x (2x+3y-13) dx + 3x - 2y) dy = 0 DE

A:

Q: ) 3(x+ y) dx + x(x*+ zy + uy) dy - o t.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Write the system x'= e"x – 4ty+9 sin(t), y' = 7 tan(t)y + 9x – 4 cos(t) in the form = P(t) + F(t).…

A:

Q: y" - 3y' + 2y = 5 ex

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: can you explain if this is true or false if y=x2+y2, then y'= 2x+2y

A:

Q: - (D' - 4)y = x'e"

A:

Q: (бх - Зу +2)dk - (2xх - у -1) dy 3D0 |

A:

Q: The standard form of 3dy-xydx= 3y³e/3 by Bernoulli's ec 4x/3 dx 3 A dy ху = 3e**/3y3 dx 3 'x=…

A:

Q: x2 z = *1 - 2xy У

A:

Q: (18) y "+9y '= sec² 2x %3D (19) y "'+6y "–14y'–104y = -11 le*

A:

Q: 2x-1 11. y = 5x+2 12. y=(5x² + 2x + 1 )3 13. y = V2x + 6 /14. y = 15. x = 2x + 3, what is dy/dx? =…

A:

Q: A' C 2. B C' B'X 0 2 4 6 ? . 8.

A:

Q: Find all solutions to the equation (D^2 − 3D + 2)y(x) = 2e^3x.

A:

Q: dy Зx+2у-5 %3D dx 2х+у-3

A:

Q: Which of the following are correct general solutions to the exact equation below? (8xy−sinx)dx+4x^2…

A: For given exact differential equation we have to find general solution,  (8xy−sinx)dx+4x2dy=0

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.