Form a differential equation by eliminating arbitrary constants "A" and "B" from the family of curves -Зх y = e-3* (Acos3x – Bsin3x)

Q: Find the general solution of the differential equation given below: у(х — бу) dх — х (2х — 9у) dy…

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Q: x x + x = 0 x + x 3

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Q: degree dy 6. dx = cos X d²y' dx2 2 (dx + 2b + y = 0 7. y" + (2y')2-y = 4x 8. 9. yy" + 2x3 = 0 10. y'…

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Q: y² = Ax² + B sec x

A: Given equation: y2=Ax2+BsecxTo find: General solution by eliminating all the arbitrary…

Q: Find the differential equation of family of lines whose angle of inclination is 60 degrees.

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Q: Solve the differential equation: (ху + х)dx 3D (x^2 у^2 + х^2 + у^2 + 1)dy

A: The given differential equation is xy+xdx=x2y2+x2+y2+1dy.

Q: d²y dx² 3 7 + 3y (dy) 2 + y ² (dy) ² 3 0 = 5x

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Q: y = C1+ C2cosx + C3sinx %3D

A: The given equation is, y=c1+c2cosx+c3sinx⋯⋯⋯⋯1 Differentiating with respect to x,…

Q: 3. A thermometer reading 70°F is placed in an oven preheated to a constant temperature. Through a…

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Q: 1. Find the orthogonal trajectories of the family of curves y³ = 3(x – c). Draw a few representative…

A: The orthogonal trajectories are the curves that are perpendicular to the family everywhere.