xy(1+ y³)dx – (1 + x²)dy = 0 %3D 1. Determine the general solution of:

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

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Q: dy x +1 xy %3D dx

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

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Q: (x? – xy + y?)dx – xy dy = 0 What is the general solution? *

A: To find  The general solution of the given differential equation.

Q: - x y² dx + e* dy = 0,y(0) = ; 2

A: Given differential equation xy2dx+exdy=0

Q: olve the equation x y² dy = (5 x³ + y³) dx using Homogeneous method.

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

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Q: Obtain the general solution. d²y e* 1. dx? dy 2 +y= dx x² +1

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Q: dy=(0.5x- 3) Co 3)° dx

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Q: A. Solve the following equation using integrating factors found by inspection. 3. y(x2 + y2- 1)dx +…

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Q: dy y- dx ay

A: on solving this we get the

Q: The general solution of V – 2x)dx+(2xy+ 1)dy=0 is?

A: (y2-2x)dx+(2xy+1)dy=0y2dx-2xdx+2xydy+dy=0y2dx+2xydy-2xdx+dy=0d(xy2)-2xdx+dy=0Now integrate both…

Q: y3 r³ – 4x – 1 = 0 3 Find dy/dx and explain why dy/dx is always positive. Where on the interval [0,…

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Q: (x² + y²)dx – xy dy = 0

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Q: Find the general solution of y°dx+(3xy + y² =1)dy = 0 %3D

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Q: What is exact solution for dy/dx =(x2+y2)/(x+y)

A: Given: The given equation is dydx=(x2+y2)x+y

Q: Dse Runge - kutta method to Solve the equation: dly x +y %3D dx at x =0.8 given that using h= o.4 y…

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Q: dy +2(x+1)y² = 0 y(0) =-% Give the largest interval I on which the solution is defined. dx (6) 4. 8,

A: Given equation is: y'+2x+1y2=0, y0=-18

Q: しxyトI)dx + Cx?ト4x4 -スx) dy= o く.

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Q: 1. Solve for y3 using the method of successive approximation. dy = x + y; y(1) = 1 dx

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Q: Solve for the solution for the equation: (x² + 3xy)dx + (x² + 4y) dy = 0 with the condition of y(2)…

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

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Q: (x² + 2xy – 4y²)dx – (x² – 8xy – 4y²)dy = 0 - %3D -

A: Consider (x2+2xy-4y2)dx-(x2-8xy-4y2)dy=0⇒ (x2+2xy-4y2)dx=(x2-8xy-4y2)dy⇒dydx=x2+2xy-4y2x2-8xy-4y2To…

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

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Q: 4. Obtain the general solution of x? y dy dx

A: By Bartleby policy I have to solve only first one as these are all unrelated problems

Q: Solve for the DE: (3x²y - y)dx + (x³-x+2y) dy =0 ; y(0)=2

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Q: d²3 Find the particular solution of +16y=0 if given y(0) =1 and y'(0) = 0. +8 dx dx

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Q: Solve for the general solution * (eУ — усos ху) dx + (2xe-У — х соs ху +2у) dy %3D0

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Q: 4. Using homogenous D.E approach, solve (x³ – Зху?)dx %3D (у3 — 3x2у)dy. (v³ – 3x²y)dy. | 2 (ardai…

A: The given differential equation is; (x3-3xy2)dx=(y3-3x2y)dy.

Q: xy3dy − (x4 + y4)dx = 0 find the general solution of the differantial equatiton

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Q: 2-r Change the order of integration and hence evaluate dy dx 2 + y?

A: To solve this problem. first find the region of integration by drawing the region and then change…

Q: Find the solution of dy X. +y.Inx y.lny dx Show all your calculations.

A: Given equation is as below :

Q: (1+ a²). dy + xy = 0 dx

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Q: dx 2x - y dt dy

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Q: Obtain the general solution. (1+y^2)dx+(x^2y+y)dy=0

A: Gien differential equation 1+y2dx+x2y+ydy=0To solve the differential equation we use variable…

Q: Find a particular solution: (x2 + 6y2) dx – 4xy dy = 0, when x = 1, y = 1

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Q: dy 1+y3 Determine the solution for the given DE: + = 0 dx xy?(1+x²)

A: Proceed as shown below

Q: Solve using the integrating factors by inspection and get the general solution of…

A: The given differential equation is, yx2y2+2dx+x(2-2x2y2)dy=0 Now rearrange terms as below:…

Q: (ylny – e¯xy)dx + ( + xlny) dy = 0

A: Solution :-

Q: OBTAIN THE GENERAL SOLUTION 2. dx: t (1+e?) see" x dt 3. x dx - Ja - x² dy =0

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Q: d’y dx? Find the general solution for +10 -+25y = 0. dx

A: For the second order homogeneous differential equations of the form ad2ydx2+bdydx+cy=0 , the general…

Q: Trapezoidal (Use n = 9) 3 5. S¹ (5√x-³) dx √x 6. √² (5ex - e)dx

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Q: Solve for the general solution. (x + y) dx + (3x + 3y - 4) dy = 0

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Q: The solution of (1 – y² )dx + (1 + x² )dy = 0 is: %3D

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Q: Solve the DE by Integrating Factors 1. y² dx + ( 3xy + y² - 1) dy = 0

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Q: 3X-Y-4) dy wheh X=4 i y=l ty dx

A: You can solve by any method