R6(A) obtain the differential equation whose general Solution is y=a sinox-bcos 6t, where a and b are arbitray constants. (B) Solve the First ordol olifferential equation ly %3D e, by using vari'able Separable.

Q: y' – (cotx)y = -(2cosx)y-2

A: Handwriting solution

Q: Solve the Linear first Order Differential Equation xdy - sin dx

A: See the attachment

Q: Y- 3X +1 = Ce | Ce 3x

A: The given equation is y-3x+1=ce-3x. Solve for orthogonal trajectories.

Q: Determine the solution of the differential equation: (3tanx - 2cosy)sec²x dx + tan xsin y dy = 0

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Q: Form the differential equation of family of lines situated at a constant distance p from the origin.

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Q: Solve the differential equation by variation of parameteres: y'' + y = sec(x) + tan(x)

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Q: Solve the differential equation by variation of parameteres:   y'' + y = sin2 (x)

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Q: Reduce the differential equation: x2(y-px)=yp2 to chairaut form and find its genenral solution

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Q: Find an integrating factor that will make the given differential equation exact- 2y Cx²tD dx + dy =0…

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Q: Solve the differential equation by variation of parameteres: y'' + y = csc(x)

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Q: Solve the differential equation by variation of parameteres: 4y'' - y = ex/2  +7

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Q: Give an example of a differential equation.  Identify its type according to linearity, form, order.…

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Q: (x^2-4x-4)(y^2+1)dx+2y(x^3-2x^2+4x-8)dy=0; when x=4,y=1

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Q: The differential equation 4y"- siny y' + 3y = O is a linear equation. :Select one True False

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Q: T/F: no differential equation, that is directly integrable, has a constant solution. If true,…

A: Given statement isNo differential equation, that is directly integrable, has a constant solution.We…

Q: x2y'' + 7xy'+ Ay = x^B

A: Given: x2y"+7xy'+Ay=xB

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.