Solve the heat equation U; = 4u xx, - 00, %3D u(x,0)=6(x-2). CO O A U(x,t) = = Je4 cos[@x- 2)]da. Je-4ax C8 l40 cos[x-2)]do. C. Ocux,) = Je-4ax cos[@x+2)]d@. -8 O D. None of these. C. OE U(x,t) = sin[@(x – 2)]d m. %3D 27 -08

Q: rcos 9 (x, y) rsin @ EXAMPLE 5 Find the area of the largest rectangle that can be inscribed in a…

A: We have to determine area of largest possible rectangle  that can be inscribed using given data.

Q: Show that tan(y) sin(y) += cot(y) + sec(y) csc(y) 1+ cos((y) 1- cos(y)

A: NOTE: Refresh your page if you can't see any equations. . use cross multiplication

Q: Differentiate: y = cos(5 e* ) e11 COS

A: Ans is. option a)

Q: solve it y''+3y'+2y=cos(e

A: The given differential equation is

Q: Yp = A1 cos V2t + A2 sin V 2t Which of the following is Yp'? sin v2t A1 V2 Cos /2t A2 V2 O V2A1 sin…

A: Please see the explanation below

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A: The solution is given as

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.