Let 44 x +14y = 4 is a linear Diophantine equation 1) Show that 44 x +14y = 4 has integral solutions 2) If it has solution then Find all integral solutions of 44 x + 14y =

Q: In Exercises 25-36, find the solution of the given initial value problem. y"-2y' +17y=0, y(0) = -2,…

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Q: 5. Use the method of undetermined coefficients to solve (a) y" +2y' + y = x²e¬ª.

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Q: Look for the annihilator of the given expressions. i) e2x sin3x ii) x³ e4x iii) 5x* - 2.x + 8x - 7…

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Q: Select all equations that are equivalent to a-6z 16. a + 6x 9 0 O b a + 6x +9 = 16 Oc a+6x + 9 = 25…

A: Solution:-Given equation,     x2+6x=16  —1let us see and solve each option given,a…

Q: Find all integral solutions of the linear Diophantine equations 6x + 11y = 41. Use attached photo…

A: Using division algorithm. Integral solution it may be positive, negetive or zero .

Q: Use the method of undetermined coefficients to find a particular solution to the equation y(4) +…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.