Find all integral solutions of the linear Diophantine equations 6x + 11y = 41

Q: q''+q'=2z2

A: In this question, we solve the differential equation q''+q'=2z2 By using the method of indeterminate…

Q: Prove that the equation ax + b = c has a unique solution where a, b, c constants and a≠0.

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Q: Find all solutions of x2 - x + 2 = 0 over Z3[i].

A: Given: Z3i=a+bi|a,b∈Z3       =0, 1, 2, i, 1+i, 2+i, 2i, 1+2i, 2+2i We have to find all solutions for…

Q: Find two linearly independent solutions of y" + 1xy = 0 of the form Y₁ = 1+ a3x³ + α6x6 +.. Y₂ = x +…

A: The given problem is to find the coefficients of the 2 linearly independent solutions for the given…

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

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Q: Solve (2Dy + 5)²z = 0

A: We can solve this problem by method of ordinary differential equation

Q: Find дхду of z = In(x² – y) %3D

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Determine which of the following equations have integer solutions (x, y) = Z²: 1. 465x +4920y 1 2.…

A: Introduction: The linear Diophantine equation of the form ax+by=c has integer solution if and only…

Q: Let 1 2 -1 A = 2 4 -2 -2 Describe all solutions of A = 0. * = x2 +x3 +x4

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Q: Find all integer solutions to the diophantine equation 64x + 43y = 1.

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Q: Show that a riccati equation with constant coefficients y'+ ay² + by + c = 0 has a solution of the…

A: To show that  a riccati equation with constant coefficients y'+ ay² + by + c = 0 has a solution of…