Solve the differential equation y" – 16 y = 0 A) y (x) = , e** +c;re" B) y (x) = , e" +c,e** C) y (x) = c, e** +c; xe** D) y (x) = 2c, e" + 2cz e"

Q: y(s) =. (s+2)² +1 e" (cost – 2 sin t) -2t e" (cos t – 2 sin t) O A.) O B.)

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Q: Prove that the differential equation is not exact ey (e" + ") - s/ = 0 2+ + -

A: Exact diffretaial equation

Q: Solve x*y"- 2x(1+x)y'+2(1+x)y= x'

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Q: The single Solution of the differential e quation y=Px+ Cas (P) a) (-Y +* sin'slu? b) (-y - X…

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Q: The differential equation of y = 5bx2 + c after elimination of the arbitrary constant b, c is O y =…

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Q: Construct the differential equation of the family of curves xy=C(x-1)2 where C is an arbitrary…

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Q: The complementary function(C.F.) of the differential equation (D² + 6D+18)y=x is_ -37 (c1 cos 3x +…

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Q: 2) The rate of increase in a bank account is 4% of the amount in the account; the initial deposit is…

A: a) The initial amount in the bank account is P=$1000. The rate of increment of the amount is…

Q: Obtain the differential equation of a parabola with axis parallel to the x-axis. A 3(y")²-y'y"=0 B…

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Q: What is the differential equation of all parabolas with axis parallel to the y-axis?

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Q: 1 – 2xy)y' = yly + sinx] ; when x = 0, у %3D 1 + cosx 1+y²

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Q: Write the differential equation y"+ 5y +y=0 in standard form: y"+ y'+ y = 0 ngular points of the…

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Q: Which is the differential equation of the family of parabolas with axis along the y-axis and with a…

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Q: Form the differential equation Por the curve y= 2sin (x + 3)

A: The order of the differential equation is the highest derivative present in the equation. The…

Q: y" - y' - 2y= e* %3D

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Q: Solve the differential equation using the Green's y" + 16y=-xsin 4x, y')=0, y()=0 function.

A: using Green's Function to Solve the Differential Equation:Given the differential equation: y''(x) +…

Q: a) Solve differential equation dx + 2 dy x³ cos y %| - y

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Q: Form the differential equation for the function 2xy= asin2x -bcos2x O a. xy" +2y' = – 4xy O b. xy"…

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Q: y" + (y)² = y

A: Order of the differential equation is defined as the highest order derivative present in the…

Q: find the degree of the differential equation y''-12cosec y= 0   3 1 4 or 2

A: The order of the differential equation is 2.

Q: Find the order and the degree of the differential equation cos x COS X A 2,4 B) 5, 8 © 5,4 5,2

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Q: 14. Solve the differential equations: (a) y - 4x' + 2x +5 , where 0)-10 ; (b) y - 3x + xy , where 0)…

A: Solve the differential equations. (a) y'=4x3+2x+5, where y1=10 (b) y'=3x+xy, where y0=2 (c)…

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.