Use variation of parameters to find a particular solution to the DE y" + 4y= sin(2x) sec² (2x) Yp Yp Ур Yp Yp sin(2x) In cos |2x| 2 sin(2x) In cos |2x| 4 sin(2x) In cos 2z 4 sin (2x) In cos |2x| + sin(2x) In sin |2x| 4 + + + z cos 2x + r sin 2x 2 z cos 2x 2 z cos 2x 2 z cos 2x 2

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y" +…

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Q: Show that an implicit solution of 2x sin²(y) dx - (x² + 18) cos(y) dy = 0 is given by In(x² + 18) +…

A: Given that  Equation : 2x sin2(y)dx - (x2+18) cos(y) dy = 0 and Implicit solution : ln(x2+18)…

Q: Consider the following IVP: у" + у'%3D -сos x; у(0) %3D а, у'(0) 3b Find the general solution. 1 1…

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Q: If y = cos x + sin 2x, find the value of y" - y + 3) O 2 cos x + sin x – 2 cos 2x – sin 2x O 2 cos x…

A: Given that: y=cosx+sin2x

Q: Consider the following IVP: у" +у'%3D-сos x;B у(0) %3D а, у(0) -b Find the general solution. A y (x)…

A: Solution of the differential equation

Q: Find y' where y = tan(11a? + 8) v173 + 17 Answer: 51a2 y/ = sec2 (22æ)\/172³ + 17+ tan(11a² + 8)…

A: I have used the rule for composition of function and multiplication of functions

Q: x sin 4x2 dx

A: Integration is a process of finding the antiderivative of a function. There are basically two types…

Q: Find the general solution of the system of equations 2 -5 x' 0 = - ( ² = ₂ ) x + ( cost), 0 < t < *.…

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Q: Ssin(x)cos(2x)sin(3x) dx O sin(6x) sin(2x) , sin(2x)cos(4x) 24 + 8 8 sin(3x)cos(3x) , sin(2x)cos(2x)…

A: We need to evaluate integral.

Q: |(5e" + 5x4 =. + 9 cos x)dx 5et + x + 9 sin x + c 5ea + x + 9 cos x + c 5e + x³ – 9 sin x + c O et –…

A: Need to find integration

Q: 23. Integrate: S x+2 dx 2 A. V1– x² + Sin-1x + C C. -V1– x² +Sin-1x + C B.V1 – x2 +Sin-1x + C D. –V1…

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Q: 2 1.f(3x²+5) cos 2xdx 0

A: We need to perform integral. NOTE - As per Bartleby guidelines we can solve one question from…

Q: Given, y = (1+ cos 2t)-Find dy dt 8 sin 2t (1+cos 2t) sin 2t 5 (1+cos 2t) -4 sin 2t 5 (1+cos 2t) 8…

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Q: Question 6 Obtain the general solution to (D? + 1)y= secxcscx O y= C,cosx + C,sinx- cosxin|secx +…

A: First we put the auxiliary equation equal to 0 .then we find out the C.F. and then find out the…

Q: 23. fx² sin 2x dx is a. b. x² cos 2x -x sin 2x-cos 2x + C x² cos 2x -x sin 2x + cos2x + C -x² cos 2x…

A: Given problem:-  ∫x2 sin(2x) dx

Q: معادله دیفرانسيل جواب عمومی Scul plas (2xy sin²x)y' + x³ + xy² sin 2x + y²sin²x = 0 y? cos 2x + 4 .a…

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Q: 2) (3x²y+ 4e)dx + (x³ + 4xe + 2y)dy

A: We are authorized to solve only 1 question, please repost remaining questions Differential equation

Q: Which of the following is a solution to x' A(f) x +b (t) if -2 1 A (1) = -3 2 b(t)= 2 sin(t) -…

A: To find -

Q: Solve nxx = ut in Rx (0, 0) with u (x, 0) = 5 cos (6x) + 7 sin (10x)

A: Given partial differential equation is uxx​=ut​ with the condition u(x,0)=5cos(6x)+7sin(10x). To…

Q: When the general solution of y" + 4y = tan2x is written as y = U(x)cos2x + V(x)sin2x then which of…

A: The given differential equation is y''+4y=tan2x. The auxiliary equation of the corresponding…

Q: xt' + (t")3 = Và +5 x (3y')² ex² - y² = = (4x²y³ + y)²¹ y" 4 (cos x)² - y"

A: The given  differenrtial equation is xt'+t''3=x+54 Calculate the order of given differential…

Q: Find the general solution of y'"''- 6y'"+2ly'– 26y=0 A y=c,e-+cze* cos 2x + c,e*sin 2r ® y=c,e+c,e…

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Q: In implicit differentation problems it seems we treat x and y differently. For example, when we…

A: Recall: Chain Rule of differentiation :    If F(x)=f(g(x)) then ,   F'(x) = df(g(x))dx =…

Q: A particular solution of y" + 2y' + 5y = e sinx 4 elsinxcosx) 13 13 2 sinx + cosx) 65 a. b. ex (355…

A: we will find the required.