1. FIND THE GENERAL SOLUTION OF THE FOLLOWING DIFFERENTIAL EQUATIONS: 4. 3x* ydx - 3 xdy + x'dy - 3 ydx = -6 ydy

Q: (3) Show that the solution of the differential equation fip + y = -2r"y' is ´d.r r'y"(2r* + c) = 1.

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Q: Find the general solution of the given higher-order differential equation. y(4) – 2y" + y = 0 y(x) =

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Q: 2 y²dx + xydy = 0

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Q: 3. Select the correct type for the following differential equation (10 Puan) (2xy + 3y²) – (2xy +…

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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: 2) y"-y'-2y=sin2x

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Q: 2. Solve the differential equation (3x2 – x³ + 3y – 3.ry – y°)d.x + 3(x + y²)dy= 0, - -

A: Disclaimer: Since, you have requested for a handwritten solution and currently we are not providing…

Q: 1. Use the method of homogenous equations to solve the following differential equation (2² + 3y²)dx…

A: We use the method of homogeneous equations to solve the given question.

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

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Q: y" + 2y' +y = 4e¬× 4e-x

A: Given: y''+2y'+y=4e-x So, we can also write as: D2+2D+1y=4e-x The auxiliary equation is: m2+2m+1=0…

Q: 3. Find the complete solution of the differential equation (4x + xy2) – (y – x?y)y' = 0 using…

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Q: 1. Find the general solution of the given differential equation using MUC: y(4) – 4y(3) – 21y(2) +…

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Q: 2. The differential equation (4x'y'-6x'y-2r-3)dr +(2x*y-2x' ty = 0 is exact because aN

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Q: Find the general solution of the given higher-order differential equation. y''' + 3y'' + 3y' + y = 0…

A: The initial value problem is,

Q: Find the particular solution of the following linear 1st order differential equation which satisfies…

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Q: 2. (1-y) y' = x2

A: The given DE is: (1-y)y'=x2...(1)

Q: dy dx + y = 2xy-ex

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Q: 10. (x² – 1)y" + 2y' – (x – 1)(x + 1)² = 0 %3| - -

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Q: 1. Obtain the differential equation associated with y=Ax2+Bx+C

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Q: 4) In the differential equation of, y(x³ – y)dx – x(x³ + y)dy = 0 - where a and ß are constants,…

A: Explanation of the solution is given below....

Q: Find the particular solution of the given differential equations. (x² + 2xy - 4y²)dx - (x² - 8xy -…

A: Given equation is (x2+2xy-4y2)dx-(x2-8xy-4y2)dy=0

Q: xydx – (x² + 3y²)dy = 0 -

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Q: 5. Find a general solution of the differential equation: y" + 4y' = 2x – 1

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Q: Find the general solution to the following Cauchy-Euler differential equation. X2 y” + xy’ + 4y =…

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Q: 6- y" + 4y = 4 sec 2x

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Q: Find the general solution of the given second-order differential equation. y" + 9y = 0 y(x) =

A: Given equation, y''+9y=0 It can be written as, (D2+9)y(x)=0, where D=ddx

Q: y" + 2ý + y = 6+ 4e-3x

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Q: Find the particular solution of the given differential equations. 2. (x² + 2xy - 4y²)dx - (x² - 8xy…

A: (x² + 2xy - 4y²)dx - (x² - 8xy - 4y²)dy = 0

Q: If we use the method of undetermined coefficients, the particular solution of the following…

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

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Q: Find the general solution of the given higher-order differential equation. y""8y" - 9y' = 0 y(x) =

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Q: 1. Find the general solution of the given differential equation using MUC: y(4) – 4y(3) – 21y(2) +…

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Q: Solve for the General Solution of the following Differential Equations using Separation of Variables…

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: Obtain the solution of the following differential equations. 1. 2x(y+ 1) dx – ydy = 0 ; when x = 0,y…

A: We can solve the given problem using concept of differential equation. According to bartleby…

Q: У(у + 2х — 2)dх — 2(х + у)dy %3D 0 -

A: The solution is given as

Q: 2+ yеху y' : 2у — хеху

A: The given differential equation is:…

Q: 2. Find the solution of the differential equation ₂ dy 2x² = dx 3xy + y². which satisfy an initial…

A: Solved below.

Q: 12e* 5- y" - 2y' + y =

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Q: 5. Find the general solution of the given differential equation y" + 3y" + 3y + y = 0

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Q: 2. A solution for the differential equation is y = Pe-3x/2+ Qe¬x!2.

A: Let's find.

Q: Find general solutions of bernoulli differential equations.   y' + 2xy = -xy^4

A: The given Bernoulli differential equation is,

Q: 6. xy' +y-x+ xycotx = 0

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Q: 9. Find the solution of the separable differential equation that satisfies the given initial…

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Q: 10- y" – y'= 4x' + 6x

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

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Q: 19. (D³ – D)y = x.

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Q: 4. 2ydx + (x x³y³) dy = 0

A: Here we have to solve the given differential equation