2x= y+e *t %3D 3y eSt

Q: y' + 2y = e*,

A: Note: Since you asked multiple questions, I solved first one if you want answer of other questions…

Q: (2x – 5 y dx + (- 5.x + 3y² kdy = 0||

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Q: Solve (x + y)² dy = a

A: Topic- Differential Equation

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

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

Q: mation 9. y'-y = 2te²¹, y(0) = 1 2

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Q: 2(2x2+y2)dx-xydy=0

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Q: rx dydx Vx2+y2 0.

A: We solve this double integration problem by substitution method as given below in solution

Q: Simplify

A: Given: To simplify the expression       (2x2 y-5) (6x-3 y)…

Q: dy

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Q: Get the solution: x^2 dy/dx - y^2 = 2xy

A: Get the solution: x^2 dy/dx - y^2 = 2xy

Q: V 2 - y2 4(х + y) dx dy

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Q: y² (y + 2)ï dy

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Q: Is y=V10 – x a solution of dx A) Yes B) No

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Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

Q: y = x(2x+1), y" y = (4x − 3)¹/²2, d³ y dx³

A: Topic:- derivatives  Note :- as per our guideline if more than one question uploaded than only first…

Q: y(2x³ -x²y + y³)dx – x(2x³ + y3 )dy = 0

A: y2x3-x2y+y3dx-x2x3+y3dy=0

Q: Solve the equation (y^2- 2хy+6x)dx-(x^2-2ху+2)dy-0 О х^2 у + ху^2 + 3x^2- 2у^2 -с О х^2 у -ху^2 -…

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Q: Find the solution. 4. (x – y)dx + (3x + y)dy = 0

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Q: find dy/dx

A: Known formula: ddx∫rxqxftdt=fqx q'x-frx r'x.

Q: y= 2x3-14x2 +9x+7 dy %3D dx

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Q: Find the solution. dy x3- 2y dx xy= 3x3 2y2 +

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Q: y"'-3y"+2y'=t+et

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Q: solve d²y dy dx2 2у %3D 2х dx

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Q: y" + 9y = sec 3x %3D

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Q: y(2x³ -x²y + y³)dx – x(2x³ + y3 )dy = 0 %3D

A: Follow the procedure given below.

Q: Find for the equation below. dx 6x2 - xy- y' = 6

A: In the question it is asked to find dydx of the following function given in the question.

Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: . Find the complete solution of dx + 2x Y = 2x²y²e*dx V

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

Q: Determine the solution of 2x (y+1)dx−ydy=0

A: Determine the solution of 2x (y+1)dx−ydy=0

Q: Please solve (2x-y)dx + (4x+y-3)dy = 0 using Linear coefficient method.

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Q: Solve : Y dx -(x - 2y² )dy= 0

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Q: Solvex2 d2y dx 2+x dy dx + (µ2x2 – n2)y = 0, µ ± 0,n>0

A: Given, x2 d2ydx2+xdydx+μ2x2-n2y=0 This is a Euler-Cauchy Equation. The power of x is the same as the…

Q: he equilibrium pul 12) P(x) = -2x + 8, S(x) = 3x + 2 %3D

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Q: Solve the equation (y^2- 2ху+6x)dx-(x^2-2ху+2)dy-0 * х^2 у - ху^2 + 3х^2- 2у^2 -с х^2 у + ху^2 +…

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Q: Solve the DE 3y2 Y +x-1y3 =x*. dx

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Q: How / Find the solution for the equation @ y√ √ x² + y ² dx = x (x + √x² + y²) dy 1

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

Q: y (2xy + y²) dx + x (y² − x) dy = 0

A: According to question given:y(2xy+y2)dx+xy2-xdy=0y(2xy+y2)dx=-xy2-xdydydx=-y(2xy+y2)xy2-x

Q: 2x2 x² - 4x +4 ey JTeży + 4)°/½ dy

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Q: d³r dz +t- dt3 (c) 4tx = 0 %3D dt

A: The solution is given as

Q: 2(2x² + y²) dx - xydy = 0

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Q: YA R X +y = 2 10 a dydr (1)

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

Q: 2d²y -X dx² dx +y=(b+1)(b +2)x(In(x))

A: Given : x2d2ydx2-xdydx+y=b+1b+2xlnxb This is homogeneous linear diff. eq.

Q: d) y" -ry +3y = 0 %3D

A: Using power series method.

Q: Solve xdy + (3x - 2y)dx =0 in two ways. Write your solution on the space provided

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Q: .(Зx? — у) ӑх — (хаy - 2ydy) %3D 0

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Q: d²y dy +y=1²-2t +3 4- dt? dt

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Q: y4 +y² - y +y 1 dy

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Q: y² (y + 2)ã dy

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Q: Solve y dx - (axdy + a²dx) = x²(y² - a²)dy

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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.