The general solution of the differential equation) " – 18y'+81y = 0 is 9x OBY = (c +cx)e-9x Oc.y = e*(c1 cos 9x +c2 sin 9x) O D.Y = Cje* +. O E.Y = C1 cos9x+c2 sin 9x

Q: Show that the given function is a solution of the differential equation. y" + 25y = 0, y = cos(5x) +…

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Q: Solve the differential equation y"-3y'-4y 0 O y= e3* (c cos 2x + C2 sin 2x) cos 3x + c2 sin 3x) O y=…

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Q: Solve Cauchy Euler differential equation x²y" - 7xy' + 41y = 0

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Q: The differential equation y"" + ay" +by" + cy' + dy = 0 has a solution y = -5test - 6e³t cos(2t) for…

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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.