Choice Question Choose the correct option i.e. A, B, C or for the following:- 1- By solving the equation z² = i, the value of Vi is ® TH 2- What is the Laplace inverse of (+4) ? (cos2t - 1) ® (-cos2 t - 1) Ⓒ(cos2 t + 1) 3- Name the following differential equation 2x2y" + 5xy' + y = 3x + 2, as Euler-Cauchy Eq. B Homogeneous Eq. Legendre's Eq. 4- The evaluation of integral 10041 0/ (-cos2 t + 1) Bessel's Eq.

Q: It is known that Yp = a cos 6x + b sin 6x is a particular solution of the differential equation y" –…

A: Given differential equation is y'' - 13y' + 36y = 3sin 6x

Q: Identify the type of the equation dy y? - dx and solve it.

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Q: au au = xt at (x > 0,t > 0) ax u(0, t) = 0 u(x,0) = 0

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Q: Using Exact Differential Equations, solve: (x + 4x²³ siny)dx + x4 cosy dy =

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Q: differ ny dy

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Q: 8. sin 0 dr/de = -1- 2r cos 20

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Q: Do the functions y1 = cos81 and y, = sin8t constitute a fundamental set of solutions of the…

A: Given a 2nd order linear differential equation y"+16y=0---1   We know that for the differential…

Q: For each differential equation, indicate the order (as a number) and whether the equation is linear…

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Q: When a differential equation is said to be exact? Solve the differential equation (2x cos y +…

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Q: The particular integral(P.I.) of the differential equation (D + 9²)y = cos?a – sin? z is

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Q: Solve the HDE: z'y = ry+3xev*. Your Answer:

A: To solve the homogenous differential equation given.

Q: Can you please solve for the PS/GS of this differential equation and pls indicate what kind of…

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Q: Solve the differential equation. dr sin 0- do +(cos 0)r = tan 0, 0<0<,

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Q: Show the following differential equation is exact, then solve it. [sin(xy) + xy cos(xy) – 8x]dx +…

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Q: (sin 0-2rCOS²0) dr + rcos0 (2rsin0 + 1)d0 = 0

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Q: 5. Solve the differential equation and show the explicit solution: sin 2æda + cos 3ydy = 0, y(T/2) =…

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Q: Solve the differential equation. Use any appropriate method. Must show comp necessary steps in the…

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Q: S following ordinary differential equations: 2) 2 2-}=-y3i COSX dx

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Q: (e) Find the general solution to the equation cos 50 = cos 20.

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Q: Evaluate L {e-3(1-2) - 1¹e³¹ − 21²cos(2t) + 3e¯'sin(3t+ π) +-π)}

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Q: u" + 16u = 0, u(0) = 2, u'(0) = -1

A: The solution of the differential equation is defined as the function that satisfies the equation. In…

Q: Solve the following differential equation Select one: O a. yos=e"(tanx+c) O b. yos=e"(cotx+c) O…

A: Given differential equation is dydx-2xy=x2sec2x. We have to find the general solution of this…

Q: Solve the separable differential equation. dy (1+y²) coshx dx 9+sinh x

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Q: General solution of = dx tan²(x + y)

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Q: Solve the given differential equation: (x + y sin 2) dx x sin ! dy = 0 -

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Q: dy = 3 sin (6x - 2y) dx

A: This is a problem of the differential equations.

Q: 6. (y cos x + 2xev)dx + (sin x + x²e° + 2)dy = 0; when x = 0, y = 0

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Q: Solve the following differential equation cos>x Y = xV dy = xV1-y dx Select one: O a. y= cos(xtanx +…

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Q: Q2: Find General Solution (YGS)to the equation (Yª-1) Y=COS(2x)

A: From the given information. The given differential equation is as follows.