A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which factors as follows. (r2 – 4r + 8) r°(r – 2)4 = 0 Write the nine fundamental solutions to the differential equation. Y1 = e^-xcos(sqrt2)x Y2 = Y3 = Y4 Y5 = Y6 = Y7 Y8 = Y9 = || ||

Q: Tell whether x = C1et + C2 cos 2t + C3 sin 2t is a solution to the differential equation x''' - x''…

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Q: SOLVE : uoTienbe je120 (6x2 +4xy +y2)dx + (2x2 + 2xy -3y2)dy =0 2x³+2x3y+xy²-y³=c 3x2+2x?y+xy2+y°=c…

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Q: 1) solve the following differential equations: a) (2x²³x+ sin (1/2-½x) + y ) dx + (x²y-x) dy = 0

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Q: solution to this differential equation: (x+3y-5)dx - (x-y-1)dy = 0

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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.