What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x a. None of these O b. 2 О с. 3 O d. 1

Q: 2. ху' %3D2хе* -у + 6x2

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Q: čônčěntrátion enters the tank at 20 kg/min and the mixture leaves the tank after complete mixing at…

A: Given Mass=1000 kg of a 10% salt solution Tinput=2okg/minute→2o% concentration Toutput=1okg/minute…

Q: Find the primitive solution to the following differential equation. (x3 + y³) · dx + 3xy² - dy=0

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Q: Obtain the differential equation of the following

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Q: For questions with enumerated functions, tell whether they are linearly dependent or linearly…

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Q: (За? + Зт?) da — батdт %— 0

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Q: (6x – 3y + 2)dx + (y – 2x + 1)dy = 0

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Q: xx+24=5x² fpyonbouy of anyos

A: We have xx+24≤5x2 Consider:…

Q: III. Find the differential equation whose solutions correspond to the following equation 1. y = Ce¬*…

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Q: dy che = 21 улхчу у соз=

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Q: a.) y = 2cx² + c² b.) y = c1x + c2x² + sin x %3D

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Q: ず-8g+y ガ-8g+y=(x+8x) ex パ+82

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Q: 1. State the order of the following differential equations. Which are linear and nonlinear? dy а. dx…

A: 1,a) The order of the differential equation is 1, it is linear. b) The order of the differential…

Q: Solve the Linear Higher Order of differential equation using the formulas below. (D³ – 2D² +…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Which of the following should be the value of a for the differential equation (ye* + y)dx + (e* +…

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Q: Determine whether the following equation is a solution to the corresponding differential equation.…

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Q: solve the differential equation xe8Ydx + (7xy+8x²e®Y)dy=0

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Q: Find the differential equation of the following function (3х + 2у + 7)dx + (2x — у)dy %3D 0 а. Зx? +…

A: Exact differential equation

Q: 2. (6х + у?)dx + У(2ху — Зу?)dy %3 о

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Q: Find a particular solution of the equation y4 -y3 - y" - y' - 2y = 8x^5:

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Q: determine whether the following function y=c₁x +₂¹³ +21²²-2re* is a solution to the differential…

A: We can solve this as follows:

Q: 1.3x – xy = c -

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Q: 7. у"" + у" — 7у" — у' + бу %3D 0 - -

A: On solving this differential equation we will get

Q: Find the differential equation that has y = C1 + C2x as its general solution. a) Oxy" – 3y = 0 b) O…

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Q: а. у %3D Ае2х + Вхе2x

A: We eliminate A and B by taking first derivative y' and second derivative y''

Q: The population of a community is known to increase at a rate proportional to the number of people…

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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.