Find Y(s) in the form p(s) SIMPLIFY COMPLETELY. 9(s) * y" – 9y = e³t y(0) = 1 y'(0) = -1 %D

Q: A person's Body Mass Index is I = W2, where W is the body weight (in kilograms) and H is the body…

A: where  is the body mass index,  is the weight and  is the height and given

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A:

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Q: . Which of the following is the range of the exponential function f(x) = a*, a > 0 and a + 1? (a)…

A: Range: The set of the dependent variable for which a function is defined. Since exponential function…

Q: d (7 ln(x)) dx Find

A: Find

Q: (a) Yes. (b) No. LE ex²+y² sin ydydx = 0?

A: We have to verify  or not.

Q: Let y = P(t) denote the number of fruit flies in the kitchen, t days since you first observed them.…

A: Here Let y = P(t) denote the number of fruit flies in the kitchen, t days since you first observed…

Q: xcos(2x) dx = None of these п/9 2n

A: We have: I= ∫ x cos(2x) dx Integrating by parts: ∫fg' = fg - ∫f'g Taking f= x and g'= cos(2x)  Thus,…

Q: Which of the following is 1ln x dx? (a) 1/x + C (b) x . ln x - x + C (c) 1/2 . (ln x)2 + C

A: Evaluate ∫1lnx dx. Apply by parts law of integration: ∫fg dx=f∫g-∫f'∫g Let f=ln x and g=1 ∫1lnx…

Q: 106. y' = y² – %, Yı = 0 %3D

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Q: Jo 1 (x+8)5/3 dx

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: valuate (3x + 2)In(x) dx

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Q: x - 3x-1 dx x'+x-2x 6. Evaluate A. In- C. In -C

A: Given integration is: ∫x2-3x-1x3+x2-2xdx  To find the value of integration.

Q: 1 7. 2x (x2 – 1) dx -1

A: Distribute 2x

Q: 1. Graph = 3 sec(2x). one cycle of y 2. Graph one cycle of y = csc(3x).

A: Note:- According to company policy we can attempt ?️ only one question so please upload the next…

Q: X = Ys e %3D (ras.t) %3D (2.1,0)

A: Here we have given u in terms of x,y,z and x,y,z in terms of r,s,t , We use above given relations to…

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A: Given: y=x^2 ((e^ x)-1) To determine: d y/dx

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A: Given integral is ∫ln (x2+x) dx=I (say) We will do this by method of by parts.

Q: 10 dx (х3-10х+5)1/3 -2

A: Given integral is ∫−2010x3−10x+513dx We have to evaluate ∫−2010x3−10x+513dx by trapezoidal rule. The…

Q: n/2 1 If cotn+5x csc?x dx = then K=...... п/4 n+k

A: given that                                                    ∫π4π2cotn+5csc2x dx=1n+k now…

Q: 1 ,-(x-a)/b dx a

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Q: 34 dx (г - 2)4/5 (x)

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Q: X / Show that equation e+x-6 has root by Bisection X = 1, X = 2₁ € = 5%

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Q: Find dy of the expression (xy)* = e %3D dx

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Q: 1 2. dx (e2x – 4)*/2

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Q: @ yt y'-2y=3e% 12 y-y=e

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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.