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: An IVP ordinary differential equation is called well-posed if a big change in the data of the…

A: We know  that an IVP ordinary  differential equation is called well posed if a It  has a solution b…

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

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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: dy che = 21 улхчу у соз=

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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: b. 6y²dx – x(2x³ + y)dy = 0 -

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

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Q: Calculate whether the differential equation is exact or not and Find the general solution.

A: The given differential equation is:x2+2x+ydx+2dy=0We need to check whether the equation is exact or…

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

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Q: Solve the differential equation by eliminating the arbitrary constants. Choose the right answer from…

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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

A:

Q: The differential equation that represent the following system 1-1 X, is 2 3 Select one: a. y"-4y-5y…

A: The given system is

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 -

A:

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

A: On solving this differential equation we will get

Q: а. у %3D Ае2х + Вхе2x

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

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.