Solve the general solution of the given DE: dyldx = (2y/x) + (3x/2y).* %3D

Q: ddy if y= (x² + 4x)² dx Simplify completely. Do not multiply out any binomials raised to more than…

A: y=Rules(i) (ii)  (iii)

Q: y - 1 %3DCOS (7x*) dy dx %3D

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Q: ve

A:

Q: if y = 3x2-2x+5 , determine dy/dx using the definition.

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Q: V3/2 1 dx%3D 6). V1- x 1/2

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Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: dy y + 3x %3D dx

A:

Q: 9x Cos (8x) dx qxcas()dx7u dv = %3D

A:

Q: Fl)=3x"-7 and glx)=3x+18 -whatig Cg-f)(-3) what is or

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Q: find y' for Zy%3D2X-2y

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Q: QUESTION 28 Find the center of the ellipse x²+5y2-20y+7x+30 = 0. O A. (3/4,2/3) B. (-4/5,-5/8) C.…

A: Given, The ellipse x2+5y2-20y+7x+30 = 0   Introduction: The standard equation of ellipse,…

Q: Solve (1+xy)x dy + (1- xy)y dx 0. %3D

A: By using simple differential and integration

Q: dy y secx + ytanx dx %3D

A: Given differential equation is : dydx=ysecx+ytanx

Q: Find f''(x). f(x) = (x² + 1) ⁹

A: Here we have to find the double derivative of the given two functionsy=(x2+1)9and y=-7x6+1Here these…

Q: Solve (2xy-2xy- = 0 4xy² +2x) dx + (3x2y + 4y) dy %3D

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Q: T= tan (x+2y+ 3Z) %3D Find: Txx XX Tx Txy Ty Tyy Tyx Tz Tzz Tzx T zy

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Q: Let y = (3x²-2)* (4x + 3)7. %3D Find y'.

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Q: Find oy for dx2

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Q: solve and show steps  dy/dx= 2xy

A: solve and show steps  dy/dx= 2xy

Q: 1. Solve for 'x': vx + v2x +7 = 8

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Q: 9 coshx - 5 sinhx 15 %3D

A: To solve  9coshx-5sinhx=15

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.