The values of x, y for the following matrix equation are x-2y -2 3 1-[-²2 6 0 2 x+y

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A: Here we have given a differential equation. The auxiliary equation will be given as  2m2 + m - 6 = 0…

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Q: Find the general solution of the differential equation y2dx + 2xydy=0.

A: The method used here is separation of variables.

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A: NOTE: Refresh your page if you can't see any equations. . substitute x=-4

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A: Given data:- The given integrals, (16); ∫e-x dx (17); ∫sin3xcos3xcos3x+12 dx (18); ∫lnxx4lnx-1dx…

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A: Let's find area bounded by the curve.

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A: We have to use the concept of limits

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A: we will find the required.

Q: (b) lim 4-5x²+2x 3x³-2x+4 848

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Q: Solve the differential equation (A) x + Iny=c (B) Iny-x=c Ⓒ Inc-y=x D) Iny=c dy dx =y

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Q: 48. iMa 2 n + 4n 3n4 +9

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Q: Question 13 What is the general solution of the differential equation y" - 2y'+y=0? y=Cu +Cre B…

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Q: Question 6 Determine the value of k such that x²y=1+x\ is a solution to (x²y + k) dx + x³dy=0

A: To verify that y is a solution of differential equation we find derivative of that substitute on the…

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Q: Prove the following limits x⁹y lim a) (x,y)=(0,0) (x6+y²)² b) = Does not exist x²y+xy² lim…

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Q: Prob 4 Evaluate Лет x→∞0 lim x-00 orctan (ex) 4-ex 1+20x and

A: 1) L=limx→∞arctan(ex) Direct substituting the limit:   L=arctan(e∞) e∞=∞ So, L=arctan(∞) We know…

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Q: The table shown gives selected values of x for the function h. 6 6.001 6.01 6.1 7 h(x) -7010 -7001…

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Q: 53. Prove the following limit formula for e: e = lim (1 + x) ¹/x x⇒0

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Q: Let limf(x)=L(Lbeanyrealnumber) andnbe apositive integer. X→C Whichof the givenstatementsis/are…

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Q: Which of the following is the complete set of roots of the auxiliary equation for y"-3y+3y'-y=0. A)…

A: Given, y'''-3y''+3y'-y=0

Q: Solve the differential equation A) Iny-x=C B) Iny=c C) x + In y = C D) In c-y = x dy dx =y

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A: Solution: Given graph,

Q: 8 37. Σ η" 7 h=1

A: By using the Root test to determine whether the given series converges or diverges.(or to state that…

Q: 9. For f(x)=2x2, fim 2x²-2<0.05 (he

A: given :fx=2x20&lt;x-1&lt;δ

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Q: Solve the differential equation A) Iny=c B In c-y = x In y -x = c (D) x + Iny=c dy dx =y Continue

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Q: The differential equation 3 (3x2 + y2) dx-2xydy=0 is homogeneous of what degree? B 2 3 1

A: The explanation of answer as follows

Q: Find d²y| dx² d'y dx² x=2 = , where y = = P 4x5 - 2x². 4

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Q: ]: Show that the following functions are linearly dependent f₁(x) = tanx,f₂(x) = -tanx, f(x) =…

A: See the details solution in below

Q: Question 6 Is the differential equation y2dx + 2xydy=0 exact? A YES B) NO

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A: Here we have to find the type of differential equation it's order and degree with linear or…

Q: Let f and g be functions defined by f(x)=x²+2x+2 and g(x)=x2-1 Consider the two statements I and II.…

A: The functions are given by fx =  x2+2x+2gx = x2-1The statements are I. The rational function fxgx is…