Find the exact values of all solutions of the equation 3cosx+8sin(x/2) +5=0,where x∈[0,2π)

Q: 1. Solve the equation z2 + 2z = -1+ 6i ; [Let z = x + yi]

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Q: Solve using the method of indeterminate coefficients. q''−4q'−21q=5e-3t

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Q: Find all the solutions of the Diophantine equation 30x + 12y = 6. %3D

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Q: Solve 3(2x – 1)° + 4(2x – 1) – 4 = 0

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Q: u" - 16u = 0

A: Given the differential equation is u" - 16u = 0. Here the auxiliary equation is m2 - 16 = 0

Q: Solve using the method of indeterminate coefficients. r'''+9r'=36sin3t

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Q: 3r dθ+4θ dr=r2θ3 dr (SOLVE USING NON-EXACT METHOD OR INTEGRABLE COMBINATION)

A: Given differential equation is, 3rdθ+4θdr=r2θ3dr

Q: Find the general solution of 4x²y" +21xy' + 4y = 0. Put the final answer in the box provided.

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Q: Find a real root of the equationx' +x - 1 =0 by iteration method.

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Q: Solve the following quadratic equations by factorization method: x?+x-(a+1)(a+2)=0

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Q: Reduce the equation yzxx + (x + y)2xy + XZyy = 0 to a canonical form and solve it.

A: The characteristics integrals:

Q: х3 — 2х? - 5 %3D0, [1,4]

A: Sol

Q: Solve the equation z? + 27 = -1+ 6i ; [Let z = x + yi]

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Q: Solve the Cauchy euler equation 3x2+ 6x-6y = 3 + Inx d²y + 6x2-6y = 3 + lnx³ dx3

A: In the given question we have to solve the given Cauchy Euler equation. Method: the Cauchy Euler…

Q: Find the roots of the equation z³ – 1 = 0.

A: Given,           z3-1=0

Q: Solve the D. E J+gtanx = sin ex

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Q: Find the real solutions of the given equationt 3x³+8x = 2 – 3x

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Q: ) Find the general solution: x" - 9x = 0

A: The given differential equation is       x'' - 9x =0      Then auxiliary equation is     D2 - 9=0…

Q: Sub: Date 4y +3 dy - 4y=x`+ e* d'y dx² dx

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Q: 1. у" — бх+3

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Q: 3.0 Convert the complex number 5+2 i to polar form.. ANS 5.39 21.8°. 4.0 Convert the complex number…

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Q: Determine all non-negative integral solutions of the equation 7x+19y=543.

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Q: find all the values of a such that y=xa is a solution of yII-12x-2y=0

A: The objective of the question is to find the values of 'a' for which the function y = x^a is a…

Q: Find a real root of the equation x³ – 2x – 5 = 0 correct to six significant digits and then…

A: Absolute error: Subtract the approximated from real value, gives us absolute error. Relative error:…

Q: Differential Equations. 100 150 Very large tank initially contains of Salt Water Containing gallons…

A: As per the guidelines I did first question.

Q: The roots of the characteristic equation of (D2 – D + Dy3 0 are 11 = 2 + 3i and A2 = 2 - 3i.

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