( 4x´y + 2y´) dx + (3x° + 4xy )dy Integrating Factor ху

Q: Ans: (x + y)e+y = C y'+--2

A: Given differential equation is homogeneous differential equation which can be solved by converting…

Q: alculate the first six iterates for the equation x = e. When xo 0.

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Q: Find an integrating factor for the equation -20p° dp + – 15pqª dq = 0 and transform it into an exact…

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Q: If 3x = 9y and 27y = 81z, find x/z?

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Q: 2. [1+ytan(xy)]+ |+xtan(xy)y'=0 (DE with IC

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Q: II. Integrating factors found by inspection. 1. ysin ydx+ x(sin y – ycos y)dy = 0 2. y(x* – y° kdx +…

A: The given integral: To solve equation 1: Expand the equation: We know that,

Q: 4. (ху + 1)dх +x?dy 3D 0

A: The differential equation is given as (xy+1) dx+x2 dy=0. We need to solve the equation by…

Q: 4. ß (ß+ 30 +2) d0 + (oß +0²+0)dp =o

A: Let us consider the differential equation M dx+Ndy=0 The differential equation is said to be exact…

Q: 2²y" - 4.xy+6y= 0, y(2)=0, y'(2) = 4 %3D

A: The differential equation is given as x2y''-4xy'+6y=0x2D2y-4xDy+6y=0x2D2-4xD+6y=0 It is a Cauchy…

Q: dx + хydy %3D

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Q: Perform the given functions through method of integrating factors. y(y-2x) dx + (y² +x²+1) dy = 0

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Q: Solve for the general solution (D4 – 16)y = x* + x + 1

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Q: Find the general solution of the DE.

A: dydx-2ycot2x=1-2cot2x-2csc2x

Q: dx · xcot2y = x³csc2y dy

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Q: Exercises 4 I. Obtain an integrating factor for the following equations- (x – y²)dx + 2xy dy = o dr…

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Q: Show that the equation 2/x– 1– Vx = 3 has a solution.

A: Equation is 2x-1-x3=3

Q: Evaluate the polynomial by finding the value of y when x = 2. If decimals, use 8 decimal places. xdy…

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Q: compute the general solution of the given equation

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Q: (2 - 3 sin 30 + y) dy- (9y cos 3p- p+1) do 0, y (0) = 2 Dy+4y-6y sin 3p+ q-20= 12 O y-y+9y cos 30- p…

A: We have to find

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.