A) A=LDU where D-C) then the humber of special solubion s bo Ax=0 is equalS a-1/b.8/c2/d.camet be dabrial 3

Q: V=xincペッゴ)- y bii 24 Gan prove メT5 I V, = V +2X

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Q: An RC circuit with a 100 Q resister and a 10^(-2) F capacitor is driven by a voltage…

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Q: 4) g(n) = -n² + 3 = -11 A) g '(n) = Vn 1 2 + B) g '(n) = V C) g '(n) = Vn + 3 D) g "In) = 2n*

A: Solution ) g(n) = -n3 + 3 y = g(n) Swap y = n  n = - y3 + 3 n - 3 = -y3 y3 =  - n + 3 y= (-n + 3…

Q: 2) dx Ve -1 a) 2 vezr - 1 In (e – 1), c) arctan (e), d) sec-le

A: We need to solve the integral

Q: 8)ir f(x, y) = 3y +2x'y' +2x*y, then 8)If f =4xy+6x'y +3 %3D a) b) = 4xy +6x'y' %3D f, = 3+6x°y +2x…

A: We need to find the partial derivatives of the given function f(x,y)

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Q: %3D 23 Complete Jola C.f+ P.I. こ人 first calculate CF of epn h x?q" -3M4' +64=0 -314' +64 Use つr dy y…

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Q: 3 b) sec z dr sec solution: T にん T 2

A: Step 1: To compute ∮0π​sec(x)dx,  we'll integrate sec(x) from 0 to π: The integral of sec(x)…

Q: Q2. If f(x, y) = xy² + y²cosy + xsiny then a) y² - siny c) 2y + cosy a²f is дудх b) y² + cosy d) 2y…

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Q: 1- If e +x +y+arctan(z) = 2 then what is the value of dy da at (0,1) ? a) - 2 b)2 c)0 d 1 e) - 1 a)…

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Q: a) Find the general solution for UTM dy TM dy +2- dr? dr (1+f) UTM (77 +1)xz² = fip +

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Q: What is the complete solution of -2+y = +y=x-2-2 cosx. a.) y. = Ae*+ Bxe* + sin x - cos x b.) y, =…

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Q: Solve the Followings : 1. dy (x + 4)

A: Given: dydx=(x-y)2Solution:dydx=(x+y)2⇒dydx=x2+2xy+y2Now separating x and y terms, we get-y2…

Q: 2n+1 -2

A: Since you have posted multiple questions, so according to our guidelines we will solve only first…

Q: calculate d cos(u) for following choices of U(x) d u«)=10-x, ax Cos(UCx) = uc^)= x? corfuca) ulx) =…

A: The general rule for the derivative ddxcos(u(x)) is the following. By the chain rule,…

Q: a) V.VXA-o, b) VX V-D-O マ×(マ×ズ)= マ(アオ)ー ブイ )v(ズx2)=でしマメズ)ーオ(マ×ご) %3D

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Q: (1) 1-tank x=sech'x

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 8. Find the work done by F = (x² – y,x) along C:7(t)=(2cost,2sint) 0<t<2n : a) Without Green's…

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Q: Q1: To integratef 6x + 8 dx we substitute a)x = sec 0 + 3 b) x = tan 0 + 3 c)x sec 0-3 d) x 3sec 0…

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Q: sin-lds The antiderivative of -x sin sin-x+C A) True B) False

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Q: 1) Find the area under one arch of the cycloid x = 5(t – sin t), y = 5(1 – cos t). A) 7572 B) 50T C)…

A: Find the area under one arch of the cycloid x = 5(t-sin t), y = 5(1 - cos t).

Q: 2 3у 3. | х+у dxay ans:14 1 у

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Q: Consider the DE: 5 Σxi(y)+¹ +6x³y + xy + y" + 2y = e*tan x. a) Its order is b) Its degree is O D S P…

A: The order of a differential equation is the highest order derivative in the differential equation…

Q: ) Aind the solution of (2xy-y) dx + (x²+x )dy-0 2) Find the solution of 3x* dx + (3x*y+4y² )dy=0…

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Q: 4e2r 4. When finding | Te2x – 5)7 dx, which of the following new integrals would we obtain if the…

A: givenI=∫4e2x(e2x-5)7dxsubstitute  e2x-5=udifferentiate2e2xdx=du

Q: Q15) Given that y₁ (t) = t¹ is solution for 2t2y" + ty' - 3y = 0,t> 0, then y₂ (t) is: a) t b) tz…

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Q: 1 dx and b 6. Q2 Let a = sin(6x)dx, then a+b = a) 4 b) c) 7 737O

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Q: dり me me pag

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Q: What is the integrating foc tor of the equation %3B

A: Topic:- differential equations