The position of a moving particle is given by s 3t +9, then its acceleration at t = 7 is %3D 27 63 126 O42

Q: Y=c メャ Lin x Find and cz when y'-98 Y (14-7)=0 and

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Q: v2 dv

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Q: x=t(e²¹

A: We have x=te2t+4

Q: dt t3 Vt? - 9 J3v2

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Q: 6 dx. 1+ 9x2 Calculate

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Q: L(cos3t) = S .a O s²+9 S .b O s+9 s2 –9 3 s2+9

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Q: S cor 3ydx có

A: We need to find integral value.

Q: A 1 x る8 %3D 은 AB=C Find X+g?

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Q: Solve for A. ЗА t3D A =|

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Q: Solve Ja-yi ) dy

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Q: x°+3x Find y". y 3= %3D

A: Given function: Simplifying:

Q: R V In ORSTV, VT RS = 4(x 3x 1, TS 2х + 1, and %3D 2). Find the value of x.

A: Parallelogram: In a parallelogram opposite sides are equal. In parallelogram RSTV , VT=3x-1, TS=2x+1…

Q: 7x + 6 Find dy for y = dy =

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Q: Q3- Find the (i + 2t)²dt.

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Q: Differentiate. y = (r2 – 4r)e" %3D

A: Given,            y = r2 - 4r er

Q: Find dy. y = 33 + 10x4 – 5x5 dy = (Simplify your answer.)

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Q: Solve the following DE: 1. (D² – 3D + 2 ) y = 4x?

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

Q: 4. (x? — у?)dx — 2хydy %3D 0

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Q: 4 xp£

A: We have to find the integral.

Q: O Solve (ex+y)dx+(2+x+ye¹)dy=0

A: The given problem is to solve the given ordinary differential equation. We have to the exactness of…

Q: Find a value for the constant A so that: 4(3x + 5)' dx : (3х + 5)" + C A

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Q: Ob.2 amom +C Evaluate +Vrdx Oa.5 2 5 3 2 Oc 2 wn +C Od 3 +C 2/3

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Q: Q.2: Evaluate: -2 2 dx 1 I = x2 - 8.

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Q: olve ædy = y(1+ In y – In a)

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Q: w = (1³ + 11)8| dw dt

A: Given :   To find

Q: 12 (Sim x truy)dx Jy

A: For the given problem, we first solve one integral with respect to one variable keeping the other…

Q: Find the value of b so that (2x – 1)dx = 10 O 1 O 4 O 2 3

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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.