Obtain the particular solutions of the following: (y-Vr² + y² \dx– xdy =0, y(0)=1 a.

Q: The separable equation dy/dx=xy2 admits a constant solution equal to (x)=0. Is it True or False?

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Q: b) Use the initial condition y(0)= 2.14 to find the particular solution of dy -2y + x2 + 2x = 0 dx…

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Q: use Separation of Variables to find the general solution. dx/dt= (t + 1)(x2 + 1)

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Q: Find the particular solution of y (9x - 2y) dx -x (6x - y) dy=0., when x=1, y=1. Let x=vy

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Q: 10.Obtain the general solution of y(8x – 9y)dx + 2x(x – 3y)dy = 0

A: First we find tha integrating factor of given differential eq then we get exact differential eq.So,…

Q: dy =, with initial condition y(0) =2 is dx y The solution of %3D

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Q: Find the General and Particular solution of dy/dx = 4y ; y = 3, when x = 0

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Q: A particular solution of 4x² dy dx dy 4 is vx +8.x- +y = de

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Q: Find the general solution of dy 2+ sin (x) dx 3(y – 1)² |

A: given,       dydx=2+sinx3y-12

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: I. FIND THE GENERAL SOLUTION OF THE FOI dy dy = xy + 3x - 3x dx 1. dx

A: As per our guidelines we are supposed to answer only one question

Q: 2. Obtain the general solution using Bernoulli's equation. Si l + x/ dx – 6x dy = 0

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Q: Find the general solution of 2ydx + (x – sin Jy)dy = 0.

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Q: y_x + y х х — 1 dx

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Q: 2. у(у+ 2х — 2)dx — 2(х + y)dy 3D 0

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is said to be exact iff, ∂M∂y=∂N∂x

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

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Q: Obtain the General Solution (x-1 )dx - (3 x -2y -S) dy = 0 MAM

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Q: 2. Give the general solution of xy'dy = (x³ +y³)dx in explicit form.

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Q: Find the particular solution to DE:  ( xy^2 - x ) dx - ( 2x^2y - 3y ) dy = 0 ; y ( 1 ) = 2

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Q: Solve the initial value problem given below. dy – 16xy and y = -2 when x = -4 %3D | dx

A: Given: dydx=-16xy, and y=-2 when x=-4 i.e. y-4=-2. To Solve: The given initial value problem.

Q: Solve the initial value problem dy sin x У (0) %3D 2. dx 3y

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Q: solve the DE:   (2y^3-x^3)dx+3xy^2dy=0 ; y(1)=1 using 3 methods.

A: Let's find.

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: the solution to the IVP(x2+y2)dy/dx+xy=0 with y(0)=2 is

A: Given DE is x2+y2dydx+xy=0  and y(0)=2 find the solution of the DE

Q: dy dx ycos X こ y(o)=1 I +2y2

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Q: Find the solution of the initial value problem in explicit form: dy 7+ 12x x > 0, y(1) = 4 dx xy?

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Q: Express the solution of the initial value problem dy 2x- dx as an integral = y + 2x cos x, y(1)= 0

A: Simplify and convert in linear equation.

Q: Find the general solution of DE:  1. (x-4y-3)dx - (x-6y-5) dy = 0

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Q: How do I solve dx/dt+2x=3 with a particular solution of xp=3/2?

A: To find the general solution of the equation, given the particular solution

Q: (3x + 2y3) dx + 3xy2 dy = 0 ,  y(1) = 1

A: Given: (3x + 2y3) dx + 3xy2 dy = 0 ,  y(1) = 1

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: Determine the solution for this DE 1.) du/dx = (u2-x2) / (x2-u2 ) , u(1) = 0

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Q: Exercise 7 Find the general solution 1. 6y'dx - x(2x + y)dy = 0

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Q: Solve the initial value dy/dx = 1/x2 + 1 - 1, y(0) = 1

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Q: Find the particular solution of y(9x-2y)dx - x(6x-y)dy= 0, when x=1, y=1. To start, let y=vx.

A: The given differential equation isyax-2ydx-x6y-ydy=0, with y1=1It can be written…

Q: dy 2y = 2x/y %3D dx

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

Q: dx 2x - y dt dy

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Q: Derive the general solution of dy 1. dx y

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Q: Solve = 1 +y, y(0) = 0 by Picard's method. %3D dx

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Q: The solution of dy=(6+2y)dx subject to the initial condition y=0 when x=0 is

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Q: Find the General and Particular solution of dy/dx = 3y ; y = 3, when x = 0

A: The formula for integration of fractional function is given by: ∫1x=ln|x|. Given: dydx=3y ; y=3 when…

Q: Obtain the solution using Integrating Factors Found by Formulas. 1. 2(2y2 + 5xy – 2y + 4)dx + x(2x +…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find the particular solution of (2x²y² + xy' )dx + 3 y? dy 0 that satisfies the condition y=1 when…

A: To solve the following differential equation

Q: 2. Give the general solution of xy dy = (x³ + y³)dx in explicit form.

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Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0.

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Q: Obtain the solution using Integrating Factors Found by Formulas 1. 2(2y2 + 5xy – 2y + 4)dx + x(2x +…

A: A detailed solution is given below.   (As per our guidelines, we have to solve only 1st question)

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

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Q: Find the solution of dx - (1+2x tany) dy = 0

A: Given: dx-1+2xtanydy=0