Solve the following ODE (2x2 - 2xy-y²) dx + xy dy =0

Q: Solve the following ODE by finding an integrating factor for exact equations. (10 - 6y + 3e-3x)dx -…

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Q: Solve four questions of the following DEs xy dy + (x^2+y^2) dx=0

A: Given equation is homogeneous differential equation

Q: Find . Simplify your answers. dx dy 5. y = (x' – e-2x + In cosx)1

A: we have to derivative with respect to x

Q: solve D.E. by using homo. xsin-- ycos-) dx + xcos-dy = o

A: put y=vx dydx=v+xdvdx differential form  v+xdvdx=vxcosv-xsinvxcosv take x common and split the…

Q: Solve the following DE: dy - 5y = 0 dx

A: The given differential equation is  a first order linear differential equation in variable separable…

Q: SOlve the following D.E (x* +1) dy+(2xy+1) dx=0

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Q: Solve the following 1st order ODE. x² (3x+-)dx+(²- +32)dy=0 y 6. у

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Q: Find all values of the constant c so that .2 (xy + 1)dy dx = 4 + 4c.

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Q: e" sin°(2x) (d) y = In 2x2 + 1

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Q: [ 1² dx dy = 1/2 Select one: True False

A: Evaluating the definite integral

Q: Solve the following D-E dx 5) dy 2y

A: Answer:-  Given differential equation                        dxdy-x2y=-12cosy x3→             i…

Q: Solve the given ODE: dy :- y = /9x² +y². dx

A: Given: xdydx-y=9x2+y2 For finding solution of given differential equation, first we simplify it So,…

Q: Solve the following equations: a) 8d²y-dy 6 +y = 2x + 40 sin x dx² dx

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: dx dy 2 Select one: True False

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Q: Solve the following D-E 1) y' + y = sinx

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

Q: . Solve the following ODE using separable variable method: * +(x+2)y = 0. dx a)

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

Q: Solve the following DE (use any method) (6xy)dx + (4y² + 9x²)dy = 0

A: given differential equation is…

Q: Solve the First ODE : (xy)(dy/dx)=x^2+2y^2

A: we havexy dydx = x2+y2    dydx = x2+y2xy                 --------- (1)we solve this equation by…

Q: Solve the following D.E.s d'y dy 4 + 12 у %3D бх — 2 е* (1) - dx2 dx

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

Q: (2x – 3y) dx + (2y – 3x) dy

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Q: Solve the following: dy 1. (x - y)= x + y dx

A: Hi there, At a time we can answer only one question and the exact one was not specified. So, I have…

Q: 1. Separate x and y variable and solve the following ODE: 2 dx y In x- dy y +1

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Q: Solve the following DE: a. (2x + 2y + 1)dx+ (x+ y-8) dy = 0 %3D

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Q: (-4y + e-3x)dx = 4 dy

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

Q: Solve the following equations= dy (x² Jy 1- dx

A: I have stated the used formula in the solution.

Q: Solve the first order o.d.e dy/dx=(1+y^2)e^x

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Q: Solve each of the following by forming exact differentic 1. (xy² + y)dx+ (y³ - x)dy = 0

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Q: Determine if the equation 2xy dx + xy dy = 0 is exact. Identify M =O and N=O

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Q: Solve four questions of the following DEs dx 2 - y = e*/2 dy

A: compare this DE with  so here we have

Q: Solve the following by Substitution Method. 1. y(x tanx + In y)dx + tanx dy = 0 dy 2. = (-5x + y)² –…

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Q: Derive a formula for the equation below: хп In x dx Where a.) n =-1 b.) n + -1

A: We use  the substitution method and integral by parts for each of the cases given. Note that…

Q: ) solve the ode: dx - (x + y + 1)dy = 0

A: We know that derivatives power rule is - d(xn)/dx = nxn-1. And integration power rule is -…

Q: Solve the following DE • X – dy =2

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

Q: Solve the differenttal equat on 1y +dy_64=12x-50 Sin 2x dx? doe

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Q: Solve for the particular solution of the ODE y" + 4y' + 3y = sin(e^x).

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

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Q: solve the following equation y(2x – 2xy+ 1)dx+ (x- 2y)dy = 0 %3D

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Q: Q5. Find the general solution for the following first order ODE a) = sin (-4x) dx b) + 7y = e-2x

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Q: Solve the following Bernoulli equation. (* – 2xy dx + 3x²dy = 0 where y(2)=1.

A: Given, The Bernoulli equation y4-2xydx+3x2dy =0   Where y2=1 We have to solve the bernoulli's…

Q: dy 4y dx

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Q: Solve the Non-Exact DE (2y² + 3x)dx + 2xydy = 0 %3D

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

Q: Solve the first ODE and find the value of C constant when v(1)-2 dy 6x2 + 4x + 4 dx 4y

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Q: O Solve the DE: - sin dy y + dx

A: We have to solve the given D. E.

Q: Solve the First ODE : (xy)(dy/dx)=x^2+2y^2, You should get the answer ?^2 = ??^4 − ?^2

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Q: Solve the following differenti- d'y 3. +2y=e"; dx dx

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Q: dy Solve the following DE: 2xy + (x – 1)y² = x²e* | dx

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Q: J ? x sin 2x dk

A: This integral can be solved by the method of integration by parts which is given by