41 26 T Verify that the given Function from a Fundamental Set of Solution of the differential equation on the indicated interval. From the general solution (-) чу - 2

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A: Solution:We have to find the orthogonal trajectories of

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Q: CLASSIFICATION OF DIFFERENTIAL EQUATIONS Check the following: x + 3x = 5+1² x + 3t²x = 5 3x + 7x +…

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Q: 3,2 19 sned.with U ) dr + (3x²y+ ... .... CS CamScanner. ....... .... ... . .... .... ....…

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Q: If a population of fruit flies triples every 6 days. What is k, the proportionality constant?

A: The population growth is defined by the exponential equation,  , where k is the proportionality…

Q: The integrating factor of the given DE are already given below. What is the value of "n" yly²-x-7)dx…

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Q: Differential equation solution (D³ + D² – D – 1) y = e"

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A: For the differential equation dydx+y=e6x, calculate the integrating factor:  IF=e∫dx    =ex

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Q: Find the Bolution to the initial value problem. | -y = 2€ %3D %3D

A: Given IVPy'''-y'=2e-t+9e2t  ; y(0)=0 ,  y'(0)=-1   , y"(0)=2 to find the the general solution use…

Q: 12. Find another linearly independent solution of "-y=0 other than y₁=et, using the method of…

A: If is a solution of the differential  equation .Then by reduction of order the second linearly…

Q: Q.5. Find the general solution of the differential system 1 1 X' = 6.-1 X, %3D %3D -1 -2 -1

A: First we will find the eigenvalues and corresponding eigenvectors and then try to form the general…