Let 47x + 20 y = 2 is a linear Diophantine equation 1) Show that 47 x + 20 y = 2 has integral solutions 2) Ifit has solution then Find all integral solutions of 47 x +20 y 2

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A: Given that xy''+y'+2y=0 Take y=c0+c1(x-1)+c2(x-1)2+c3(x-1)3+c4(x-1)4+c5(x-1)5+.. Take the derivative…

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Q: Let 34 x + 18y = 4 is a linear Diophantine equation 1) Show that 34 x +18y = 4 has integral…

A: Given: The given linear Diophantine equation is 34x+18y=4

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Q: Let 44 x +14y = 4 is a linear Diophantine equation 1) Show that 44 x +14y = 4 has integral solutions…

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Q: Let 47x + 20 y = 2 is a linear Diophantine equation 1) Show that 47x + 20 y = 2 has integnl…

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Q: 1) Find all integral solutions of the linear Diophantine equations бх + 11у %3D 41

A: Given Diophantine equation is., 6x +11y = 41 Here we use the euclidean algorithm to solve the…

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Q: Let 38 x + 16 y = 2 is a linear Diophantine equation 1) Show that 38 x + 16 y = 2 has integral…

A: A linear Diophantine equation ax+by=c  has integral solution if GCD(a, b) / c Solution is x=x1-nbGCD…

Q: 1. y" + 4y'+ 3y = 12 В. 12 А. 4 С. -4 D. 4x

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Q: Let 47 x + 20 y = 2 is a linear Diophantine equation 1) Show that 47 x +20 y = 2 has integral…

A: The given linear Diophantine equation is                                      47x+20y=2

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Q: Let 44 x +14y = 4 is a linear Diophantine equation 1) Show that 44 x +14y = 4 has integral solutions…

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Q: Let 34 x +18y = 4 is a linear Diophantine equation 1) Show that 34 x +18y = 4 has integral solutions…

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Q: The equation X2 - 19Y² = 13 has an integral solution, i.e., there is a pair hat x2 19y2= 13. (proof…

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Q: Let 38 x + 16 y = 2 is a linear Diophantine equation 1) Show that 38 x + 16 y = 2 has integral…

A: Using the result: if gcd( greatest common divisor) of two integers 'a' and 'b' is 'c' then there…