8 The differential equation = (y + 2)(2t³ - t + 1) is best solved by c variable separable D linear A. exact В. homogenous 9 The differential equation (2x + y - 4 )dx + (x - 2y + 3) dy = 0 is best solved by C. A exact variable separable В. homogenous D. linear 10. The differential equation xy' = x- y + xytanx is best solved by A. exact C. homogenous В. variable separable D. linear

Q: The differential equation 2 ax + 4 au %3D 0 is... +. дхду (a)Parabolic (b)Elliptic (c)Hyperbolic (d)…

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Q: 2. (x- 3y + 3)dx + (3x + y + 9)dy = 0

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Q: 18. (Зx?у — Зу)dx + (х3 + 8у — 3х)dy 3 0 19. (х — у)dx + (3х + у)dy 3D 0 %3D

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Q: The differential equation y" + p(x)y' + q(x)y = 0 is known as a homogeneous second-order linear…

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Q: 1. Determine whether = is a solution of the differential equation y'--y = 0 3 y' = 6x² а. 6x2-…

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Q: > Solve the non-exact differential equations (Apply Rule III) 1. (x² + y² + 2x)dx + 2ydy = 0 [Ans.…

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Q: Determine a particular solution of the differential equation (x-y)dx+ (3x+y)dy-0. Use the…

A: See the answer below

Q: This answer is incorrect, could you please attempt it again?

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Q: y = 3xp +p 0 what is the general solution of the differential equation? dx

A: Given that y=3xp+p,  p=dydx To find the general solution: y=3xp+py=3x+1p Differentiate both sides…

Q: The general solution of the differential equation 2y""-3y"-2y'=0 corresponds to A- B- C- D- y=c₁e²…

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Q: Given the differential equation y" - 6y' 16y = 5x 2 Find the Characteristic Solution for the Left…

A: We have to find out the characteristics solution

Q: There are 2 pipes connected in a tank which contains 1,000 liters of brine. Brine containing 0.1…

A: Given information ----------------------------------------------------------------- Basic…

Q: The differential equation, (x + 3y - 5) dx - (3x + y - 7) dy = 0 can be transformed into homogeneous…

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Q: The characteristic equation of the differential equation 2 y (4) + 11 y (3) + 18 y " + 4 y' - 8 y =…

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Q: The differential equation can be written in differential form: y + 4y7 (y + 6x)y' M(x,y) dx +N(x, y)…

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Q: dx What is the particular solution to the differential equation + (v² +) dy = 0 and (1–xy)? xy)? y =…

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Q: (ху + 1) dx + (ху — 1) dy %3D 0

A: As per the instruction, we will be answering only the first one. Here, M=xy+1 and N=xy-1. Now,…

Q: Differential equation: (t+4)y' +2y = 3(t+4)       t>-4 Please find solution.

A: Given differential equation is: t+4y'+2y=3(t+4), t>-4   To Find: solution

Q: Find the differential equation such that y(x) = c₁(x-4) 8 +c₂ln(x-4) (x-4) 8

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Q: Ben can wash a car in 2 hours while his younger brother James can do it in 3 hours. How long will it…

A: In 1 hour Ben can wash 12 part of car. in 1 hour his younger brother can wash 13 part of car.

Q: Which of the following is the general solution of the equation system dx dt dy 2y x dt x(t) = C,…

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

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.