Which of the following is an integral factor for the complete differential equation x²ydx + (y + x3) dy = 0?

Q: Determine the differential equation that is satisfied x2 + y2 + 2ax + 2by + c = 0

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Q: solve the differential equation using variation of parameters: 2x2y′′ + 5xy′ + 9y = -x2 - 2x. only…

A: The given problem is to find the solution for the given differential equation by using the variation…

Q: Form the differential equation for the function y = acos(2x + b)

A: By finding first and second derivatives of function we form the required differential equation as…

Q: Evaluate the general Solution to the differential equation: Cy-cos-x)dx+ cosxody A y(secx + tan x) t…

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Q: Find complementary function of the differential equation  (D2 + 52)y = sin3x

A: The differential equation is D2+52y=sin3x.

Q: Find the differential equation given the general solution: y = cer + Czex + 3x

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

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Determine the order of the differential equation + x²y = xex. dx A. 0 B. 1 C. 2 D. 3

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Q: Find the point on the curve y = x3 – 3x for which the tangent line is parallel to the x-axis.

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Q: Form the differential equation for the function x +2y = a sin3x - bcos3x а. Зу" - 18у %3D -9х O b.…

A: The second order differential equation for a function can be found by differentiating the function…

Q: dy 2х-5у+3 %3D dx 2x+4у-6 II

A: Given: dydx=2x-5y+32x+4y-6

Q: Find the differential equation which has y= asinx+bcosx+xcosx

A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

Q: Find the linear differential equation that is satisfied by y=xe-xsin3x+2e-xcos3x.

A: Let's find linear differential equation.

Q: Form the differential equation by eliminating the arbitrary constants y = a csc x + b cot a

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Q: Solve the following differential equation: (y^2cosx-3x^2y-2x)dx+(2ysinx-x^3+Iny)dy=0

A: Given  The general solution is

Q: The differential equation (3x² + y²)dx - 2xydy = 0 can be made exact by using what integrating…

A:

Q: y is realted to x through the differential equation: dy = ax + b and y 1.8 when x = 0 - where a =…

A: given  dydx=ax+b      dy=(ax+b)dx integrate both sides ∫xn dx=xn+1n+1+c

Q: ta constant distance p from the origin. find the equation of the circle which touches both the axes…

A: All such lines are tangent to the circles of radius p                y=mx+p1+m2⟹   m=dydxBy…

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.