b) Solve the following differential equatión . = 1 + Sin x + 4x dy +2y dx dx

Q: Solve the differential equation (D+ + 5D² + 4) y = sin x + cos 2x.

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Q: dy Зx+2у-5 dx 2х+у-3

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Q: Solve the following differential equations: ylnx(dy/dx) = ((y + 1)/x)^(2)

A: Given the differential equation :ylnx(dydx​)=(xy+1​)2 The given differential equation can be written…

Q: Do the functions y1 = cos81 and y, = sin8t constitute a fundamental set of solutions of the…

A: Given a 2nd order linear differential equation y"+16y=0---1   We know that for the differential…

Q: Solve the following differential equation: (x²+5)dy = -12xydxr. Simplify your result.

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Q: Solve the following separable differential equation; write the general solution explicitly as a…

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Q: dx - x = (-²/cost) x³ dt 2t 2

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Q: Given the differential equation: D°(sin x- cos x+ 3e* +x²) What is the final derivative in the given…

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Q: Use an appropriate substitution to solve the differential equation (y - xeos² (2)) d. dx - x dy = 0.

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Q: 3. Solve the following Second Order Differential Equation y" + y = 4x + sin x .

A: Here in this question we need to solve the given second order differential equation. We will first…

Q: Solve the differential equation x sin

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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.