a.(2y²+2y+4x² ) dx + (2xytx )dy =D0

Q: 4. Verify if the following equations general solution: are exact and find the 2 9. 2xydx + (1 + x²)…

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Q: III. Determine the solutions of the following DE. 1. xy dx + (y + 1) e¯*dy = 0 2. (2xy – y)dx + (x?…

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Q: 4. Show that y=e²* sin 3x satisfies the equation: y" – 4y' + 13y = 0 %3D

A: Topic = Differential equation

Q: Solve the following exact equations: 1) (сos 2y — 3x*y*dx + (сos2y — 2xsin 2y -2x'y)dy %3Dо 2) (2ху-…

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Q: Solve four questions of the following DEs dx 1- 2 dy x = ey/2 x3 %3D -

A: You have asked multiple questions, we will solve the first question for you. The next question can…

Q: Obtain the general solution of the following equations. 3. (4xy + 3y²)dx + x(x + 2y)dy = 0

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Q: Evaluate the following problems by obtaining the general solution. Show complete solution.…

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Q: (у — ӕ + хусotx)dx + zdy — 0 y(0)= 3

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Q: (2xy tx?+x*) dx - (Itx²) dy=D0

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Q: B. Determine the solution set of the following equations using exact equations. 5. xy dx + (y2 +…

A: Let's find.

Q: Find a particular solution yp = Yp(x) of the following DE d'y dx? 16y = 48x + 16x + 26

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Q: 1.) (2x + y + 6) dx + (2x + y) dy = 0

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Q: Determine the Solution of the following D.E.: (2) xydx + 2(x2 +2y²)dy D0; when x=0, y= 1

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Q: Find the complete solution of the following higher order D.E. d3y 4. dx4 dy? dy + 6 +92 y = 4- 4x² +…

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Q: Q5) Answer the Following: 1- Solve the separable DE: dy -x² dx y² A a gortain

A: Given differential equation : dydx=-x2y2

Q: Solve the following DE: (1+ )S'+2St dS *where S'= dt

A: This question is based on solution of 1st order differential equation.

Q: Obtain the general solutions of the following: 3(3x + y )dx – 2xydy=0 а.

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

Q: Find the general solution to each of the following DEs, showing work- ing dy (a) -x = xe dx dy (b) =…

A: (a) Given differential equation is dydx=xe-x Given differential equation can be written dy=xe-x dx…

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

A: given differential equation is…

Q: Find the general solution of a given non exact DE y(8x-9y)dx+2x(x-3y)dy=D0. (Note: Express your…

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Q: Q4) A) Determine the following 1)√√²/1dx 1)ƒ cosxdx 2) S dx 2+3sinx

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Q: (b) I xy(z +2) dx dy dz

A: We need to evaluate the given triple integral. Note the integration result ; ∫undu=un+1n+1+C , C is…

Q: Determine the solution to this DE: * dy t 3y 2 2 dx

A: an integrating factor is a function that is chosen to facilitate the solving of a given equation…

Q: NOTE: Enter the exact answer. (36–z² xy dy dx dz

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Q: 22/ Solve two of the following D.E- dy + 4 +4y =0 A) dy B) di+2d3 - 3y=6 undetermined coeff.]

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Q: Solve four questions of the following DEs 1- xy dy + (x² + y² )dy = 0 dx 2- y = ex/2

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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: Which of the following functions is a solution of dx 12x – 8y dt dy 16x – 4y | dt

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Q: III. Find the particular solution of each of the following. dx 1. dy 2x - 7y*; when y=1,x=-1

A: Find the particular solution of each of the following. dxdy+2xy=7y4; when y=1, x=-1

Q: Show if the following statement is true or false. If it is true, write TRUE. If it is false, write…

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Q: Find the solution of each of following DE: dy dy 3x dx +2+ 3xy + 2y = 3x³ + 2x² %3D dx

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Q: Solve the following 1 1) y dx + x² + y? dy = 0 x +y 2) (3x? In x+ x² –y) dx- xdy = 0, y(1) = 5 dy…

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Q: 3. Find dy of the following equations: dx a. y = |(e-3x² + 7x² + In 8x

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Q: dz 10. Compute az and for the following equation. dy e Y + xz? 6xy*z3

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Q: Solve the following DE 3 X dy %3D

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Q: Solve the following DE by Two method : y dx – (2xy + y²) dy = 0.0 %3D a) Linear b) Exact [you must…

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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: Solve the following higher order PDES (b) (3Dx + Dy -1) (2Dx - 3Dy + 2) (Dx + 4Dy – 3) z = sin (2x +…

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Q: dy 6. dx 4x + 3y 2x+y

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Q: dy 4y dx

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Q: 3. Choose one of the following first-order equations to solve. dy (x² + 1): + 3x(y – 1) = 0 dx а. %D

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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: the general solution of DE x2 dy/dx=4x2+7xy+2y2

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Q: Determine the general solution for the following: 1. ( 6x2 - y +3 ) dx + (3y² -x - 2) dy =0

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Solve four questions of the following DEs 1- xy dy + (x² + y² )dy = 0

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Q: II. Determine the solutions of the following DE. 1. (х — Зу + 2)dx + 3(x + 3у — 4)dy %3D0

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: Find the complete solution of the DE D´ (D– 1)y = 3e* +sin x.

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Q: Solve the following a) 2d²y_dy 3y = 25 sin 2x dx² dx d²y b) - 4 - 3y = 25 sin 2x dx² dx c) d²y dx² +…

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