Given that {x, x*, x} is a fundamental solution set for the homogeneous equation corresponding to the differential equation x°y"' + 3x?y" - 20xy' + 20y = g(x), x> , determine a formula involving integrals for a particular solution. Yp(x) = D

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A: Differential equation is         y"' -3y"+2y'=4x-2

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Q: 3. Vectors u and V are as shown, forming an angle of 30°. Describe the vector u x. = 5 units, and v…

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Q: Find the complete solution of the differential equation (x² +y²)dx + (x² – xy)dy = 0 using…

A: We will find out the required general solution.

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A: differential equation will convert into exact form after multiplying by integrating factor  Once…

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A: Given differential equation:- x+1dydx=x-yx+1

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A: Slove by using homogeneous differential equations

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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.