Question (01): Solve the following homogenous differential equations. +y+Jx=y) dx -«/x+y--y) dy = 0 i.

Q: obtain solution of this differential equation (1-xy)-2dx+[y2+x2(1-xy)-2]dy=0 when x=2 and y=1…

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Q: Prove that the differential equation is not exact ey (e" + ") - s/ = 0 2+ + -

A: Exact diffretaial equation

Q: Determine the solutions of this differential equation where steps are thorough and explained dy/dx=…

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Q: The single Solution of the differential e quation y=Px+ Cas (P) a) (-Y +* sin'slu? b) (-y - X…

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Q: find the solution of differential equation 2 y' +

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Q: Solve differential equation dy -(x²+y) x+siny

A: We have given a differential equation , dydx = -x2 + yx + siny This is exact differential equation.…

Q: Find the solution of the differential equation (1+x* )y'+2.xy – 4x°y° = 0 (Bernoulli) %3D

A: We will find out the required general solution .

Q: (2x + 3)y' = y +(2x + 3)/2; when x = –1, y = 0 %3D %3D

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Q: Folve differential equation by variation of parameters. y" – 4y' + 4y = 2e2

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Q: 10. Make a table that has a strong positive correlation. y

A: X Y 1 10 2 19 3 30 4 41 5 50

Q: Use the simplex method to solve the linear programming problem. Maximize: z = 2x₁ + x₂ subject to:…

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Q: Determine all solutions of the differential equation: y'= Zy(y-i) x (2-y)

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Q: dy _ x? +y° ,2x,2y+ 2 Solve the differential equation: dx ху,х,у+1

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Q: a) Solve differential equation dx + 2 dy x³ cos y %| - y

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Q: а) х4у'%——х3у- csc(ху)

A: As per our company guidelines we are supposed to answer ?️only one question at a time. Kindly repost…

Q: ' + y' - 6y = 3x - e2r y' е

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Q: Solve the differential equation xy' - 3y = 2x° In x. The solution is y = (Type an expression.)

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Q: ७) Let యర with Aand be commutetive Xing that that 1of iniby Then Such Poove ২ A.B AnB

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Q: SOLVE FOR the differential equations 15) (2x - 5y + 12) dx + (7x - 4y +15) dy = 0

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Q: The indicial equation for the differential equation " +7y-5xy 0 is O A. (r+ 7) = 0 O B. P(7r - 1) =…

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Q: Which of the following is the general solution to the differential equation ydx = (3y + 1)xdy +…

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Q: 2x [3x+y-yexp(-x²)]dx+[x² + 3y² +exp(-x²)]dy=0

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.