It is given that the DE y dx (ye' - 2x)dy is linear in x variable. The Integrating Factor of the equation is:

Q: Let y = Arcsec (cos² 3x). If y '= == A (B C) D) - 6 tan3x - 3 sin3x - 6 sin3x cos3x N 2 cos3x D and…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: z = f( a, b, d, c), write the exact differential of the dependent variable

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Q: Find the general solution for the given equation: y’’ + y = csc x

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Q: Differentiate the equation below with respect to x: 3e" + x' = 4x- 5y

A: Here we have given a equation : 3e2y+x3=4x-5y2. Now differentiating both sides w.r.t  'x' we get :…

Q: Separate the equation (1 + x + y + xy)y' =x.

A: First, convert the expression on the left-hand side in product form and then separate the equation…

Q: Differentiate the given function. 7x-2+-

A: Here we apply product rule of differentiation (UV)' = U(V') +(U')V

Q: Calculate the second derivative y : Vx - Vy = 1

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Q: O Find đyldx given the implicit equaton

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Q: Find the second differential of the function y=x2cos2x.

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Q: Determine the equation whose y'= Y/3x. 3x2 = y3 A 1 у? y= 3 x2 © x² = y3 1

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Q: 5

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Q: Find dy/dx for the equation xy − y − 1 = 0 by implicit differentiation.

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Q: Solve the DE y' = y sin x.

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Q: Find dy/dx for the equation x3y2=2 using implicit differentiation.

A: Given,            x3y2=2

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.