2. The particular solution of the differential equation x*dy + y*dx = xy(xdy – ydx) when x = 1; y = 1 is

Q: 10. Find the general solution of the first-order linear differential equation. dy dr y = el 10x

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Q: What is the particular solution to the differential equation = (x – 1)(1 y) with the initial…

A: givendydx=(x-1)(1-y)we will solve this equation by Variable separable method

Q: Consider the differential equation (xy + x)dx = (x²y² – x² + y² – 1) dy. By separation of variables,…

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Q: 2. In the differential equation 4(3x+ y-2)dx-(3x+ y)dy =0, we let

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Q: Find the general solution for differential equation.

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Q: (b) Without solving. What is the form of a particular solution of the given differential equation y"…

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Q: (x + y - 4)dx - (3x - y - 4)dy = 0; whenx = 4, y = 1

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Q: 1. Obtain the solution of the following differential equations: y'=Yly-2) x(y-1) а.

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Q: 5. In the differential equation 2.xydx+(y² – x dy=0, what is 1 (OM ON M dy

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Q: 1. Describe the solution of the differential equation ydx – 2xy dy = 0.

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Q: 3. The Bernoulli's form of the differential equation x' ydx+(3x-y'dy=0 is

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Q: 4. The degree of the differential equation (y")³ + y' – cos y = x is

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Q: 4) Find the general solution of the differential equation xy" – (2.x + 1)/ + (x + 1)y = (x² + x –…

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Q: The solution of the non-exact differential equation (x³ev +*) dy+ (1+ 2x²e³)dx = 0 is: x^2…

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Q: dy+y=x²y² X-

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Q: Find the particular/primitive solution to the differential equation (y+y cos x - yex)dx+2(x5+ln x -…

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Q: 1. Solve for the general solution of the given differential equation. (x – ylny + ylnx)dx + x(lny –…

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Q: What is the particular solution to the differential equation y -2x 3y2 – 2 with y 1 when dy x= 1?

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Q: 6. Find the particular solution to the differential equation: (y +2)y"=3x*y+4y, given: y(0) = 1…

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Q: (b) Consider the differential equation ydx + x(lnx-lny - 1)dy = 0. Hence, or otherwise, use an…

A: Let us consider a differential equation of the form Mdx+Ndy=0 To equation is exact if ∂M∂y=∂N∂x then…

Q: B: By using Homogenous method solve the first order differential equation (1+ e») dx - ely (G-1) dy…

A: Let's find.

Q: 2. Solve the differential equation dy + xy = xy "Bernoulli" dx with y(0) = 1/2.

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Q: dy dx + y = 2xy-ex

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Q: Find the general solution of the first-order linear differential equation (dy/dx)+(1/x)y = 6x + 2…

A: Given- dydx+1xy=6x+2 To find- the general solution of the above first order differential equation.…

Q: y' + (1+ 2x2) .e²²+y = 0

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Q: 1. Find the general implicit solution to the differential equation xy +1+(ln(x)−2y)y′ =0

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Q: (5) Find the solution of the following separable differential equation: dy -x(y + 2)², y(0) = 2. dx

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Q: Solve the non-homogenous differential equation below dy 2y + x - 3 dx y + 2x – 3

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Q: 1. Find the general solution to the differential equation dy 1 - dx

A: Find your answer below

Q: 'dy = (cscx- ycotx)dx

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Q: Show that the differential equation dy / dx = y / x is inexact and that a factor of 1 / x ^ 2 can…

A: Given differential equation is, dydx=yx.

Q: 1. Find a general solution for the Differential Equations dy x- -y = x dx

A: As per company guidelines, we need to answer only one question. So, kindly repost the other…

Q: 2) find the complete solution of the differential equation x dy +Jx²-y*dx = ydt

A: given xdy+x2-y2dx=ydxxdy=(y-x2-y2)dxdydx=(y-x2-y2x)put…

Q: 1. The differential equation x(3.xy – 4y' +6kdx+(x' – 6x²y² - 1\dy = 0 is exact because ƏM ƏN dy

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Q: Show that the solution curves of the differential equation y(2x3 – y3) dy x(2y3 – x³) dx are of the…

A: Given equation is Homogeneous differential equation of 1st order.

Q: dy 2y2 + x²e=(÷)² dx 2xy

A: dydx=2y2+x2e-yx22xy----(i)Let y = xudydx=xdydx+uPut the value of y and dydx in equation (i) we get…

Q: I. Find the general solution of the given differential equation. 1. y' + 2xy = x3

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Obtain the general solution of the exact differential equation 2xydy+(x2+y2)dx=0

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Q: 5. Find the general solution of the following separable differential equation (e +4y²)=9xe* dx

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Q: Find the indicated particular solution of the differential equation. dy dx + 7y= -2e - ⁹x; x = 0…

A: Topic = Differential equation

Q: Solve the given differential equation by separation of variables. y In x dx x dx = (x + 1)² 12/2+2 =…

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Q: :) x(x² + 1 )y' + 2y = ( x² + 1 )

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Q: 4. Use separation of variables to find the general solution of the differential equation. dy = 5t+1…

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Q: 3. In the differential equation (2x+ y)dr-3(2x+ y+4)dy = 0, we let the substitution dy =

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Q: 4. What is the particular integral for the differential equation D-1) 'y = e*+ 2x-3

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Q: 4. Find the general solution to the differential equation y" + 4y = cos 2x (where y' = ) dx

A: The general solution of a higher-order linear non-homogeneous differential equation is the sum of…

Q: 4. In the differential equation (y -x -4x-1)dy + 2y(x+ y+2)dx = 0, MN

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Q: 45. The particular solution of the differential equation x^2 dx - (y+1) dy = 0 if at x=1, y3D0 is_

A: Given differential equation is x²dx - (y+1)dy = 0

Q: 2. Determine the general solution of the given Differential Equation (x2 – xy + y?)dx – xydy = 0 - -

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