3. Find the General and Particular solution of = 3y ; y= 3,when x = 0 dx

Q: Find the General/Particular Solution 6. (x + 2y)dx + (y- x)dy = 0

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Solve the initial value problem e*dx + (e*tany + 2secy)dy = 0, y(1) = 2

A: Given that exdx+extaby+2sec ydy=0, y(1)=2. This is of the form Mdx+Ndy=0. M=exMy=0 And…

Q: 15. Solve d²y +3 y + 2y = 3 sin x, given that when x 0, y =-0-9 Wor, OFer dx? dx dy =-0-7. dx and…

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Q: Find the general solution to dy/dx= 6-x^2/2y^3

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Q: dy .Solve the initial value problem +2y=e", y(0) =-1. dx

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Q: Find the general solution of the first-order equation dy/dx=(y^(2) − 2xy)/x^2

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Q: Find the general solution of

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Q: I. Find the general solution of the following: 1. dy - 2x²¹ dx y 2. dx = xy dx 3. dy = (6e³x + 1)dx…

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Q: Show that y2 +x – 3 = 0 is an implicit solution to dx dy on 2y the interval -o to 3

A: To show that  y2+x-3=0...(1) is an implicit solution to dydx=-12y on the interval (-∞,3)

Q: Solve for the general solution of (ylny-e^-(xy))dx+(1/y+xlny)dy=0

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Q: ) Obtain the particular solution of (2x-3y+4)dx+3(x–1)dy =0; when x =-1, y = 2 O Find the general…

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Q: 1. Use separation of variables to find the dy 2+ 4xy? = 0 general solution dx

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Q: Solve for the given DE: y(y^3-x)dx+x(y^3+x)dy=0

A: first we will check this is exact or not this is not exact then we will find its integrating factor…

Q: Find the particular solution of y(1+ 2 In) dx + xdy = 0 y(e) = e.

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Q: Find the particular solution for (2y3 – x³) dx + 3xy² dy = 0 when x = 1, y = 1

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Q: (1)Find the general solution for (- x) dx – (-y) dy = 0

A: Here, the given differential equation is  (2xy3-x)dx-(3x2y4-y)dy=0

Q: Find the general solution for (y + 1) dx + (4x – y) dy = 0

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Q: Solve the initial value problem dy (x - 1) 9 = (x + 1)(y – 2), given y(2) = 3. dx %3D %3|

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Obtain the general solution to the equation. dy 1. y + 2x + 1 dx

A: Given that: dydx=yx+2x+1

Q: c) Obtain a general solution of + ! dy dx Y = sin x.

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Q: The general solution of y2 + x2. dx e dy xy is = dx

A: Given: y2+x2dydx=xydydx ⇒dydx=y2xy-x2

Q: 5. Find the particular solution (IVP) for the DE below: a) dx +2 =8x when x = 2, y = 6 b) 3y2 = 2x +…

A: Use variable separable method

Q: I. Find the general solution of the following: dy 2x 1.- dx y dy 2. xy dx 3. dy = (6e3x+ 1)dx

A: We have to find the general solution.     According to our guidelines we can do only one question so…

Q: Find the solution of the following initial value problem. dy = 3 x², y(0) = 9 dx y =

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Q: Find the complete solution of the following. dy =  ( 2x3 + 4x ) dx         ;         x = 1 when y =…

A: From the given differential equation: dy=2x3+4xdx Now integrate on the both sides. ∫dy=∫2x3+4xdx So,…

Q: 2. (y + 1)dx + (4x – y)dy = 0

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Q: Solve the bernoulli equation dx/dy+(2/x)y=-x^2y^2cos(x)

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Q: Find the general solution of  dy/dx + y/x= 3/y

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Q: 1. Solve for y, using the method of successive approximation. dy dx = x + y; y(1) = 1

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Q: The general solution of (y-1)dx −2(x+y+1)dy=0 by CL2V is

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Q: 9. Find the General and Particular solution of = 4y ; y= 3,when x dx

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Q: Find the general solution of the DE dy/dx = y(x – y) / x^2

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Q: Find the general solution of the equation: G + 6x) dx + (In x – 2) dy = 0 (x > 0) -

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Q: dy dy = xy + 3x – 3x dx dx

A: The given differential equation is: dydx-x2dydx=xy+3x-3x3Therefore:dydx=xy+3x1-x21-x2

Q: Find the particular solution to DE:  2xy dx = ( x^2- 2y^3 ) dy ; y ( 0 ) = -2

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Q: Show that the DE (4y3 -6xy)dy = (3y2 +2x)dx is exact and find a solution of the IVP: (4y3 - 6xy)dy…

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Q: 4. if x^3+y^3=2 find the value of (d^2y)/(dx^2) at the point (1,1)

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Q: find the general solution of x(y+1) dx -x 2 dy=0

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Q: 4(3x+ y – 2)dx – (3x + y)dy = 0

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Q: 1. Find the general solution for d²y dy +10 +25y = 0. dx? dx

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Q: Find the general solution of (y + 1) dx + (4x – y) dy = 0

A: Since we are given with multiple number of questions and our guideline is solve the first question…

Q: Find the particular solution of (x+ y)dx +(x – y)dy = 0; when x = 1 y = 1.

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Q: Obtain the general solution to the equation. dy 4. x+ 2y = x-3 dx

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Q: Solve the initial value problem dy (x – 1) = (x + 1)(y – 2), given y(2) = 3. dx |3D

A: According to our company policy, we are supposed to answer the only first question. In the first…

Q: 1. Find the general solution of 3 + = y*(2x*) dx

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Solve the initial value problem. dy 2xy = 8x, у(0) — 0 dx y =

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Q: find the general solution for: x^2*d^2y/dx^2 + x*dy/dx -y=0

A: SolutionGiven    x2d2ydx2+ xdydx - y = 0Gind the general solution of the given differential equation…

Q: Find the general solution to the following DE. y +x² dy = 0 dx

A: Given DE, y2+x2dydx=0

Q: dy Solve the Initial Value Problem: X- dx +y=x°y* subject to y(1)= 2.

A: Given: xdydx+y=x3y4 , y(1)=2 rewrite given equation dydx+yx=x2y4      Bernouli's…

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.