Find the solution to = y 16x + 6y if r(0) = 0 and y(0) = 3. r(t) = help (formulas) y(t) = help (formulas)

Q: f(x) =x−7 / x+5 Determine if there are any holes. If so give the coordinates of the hole

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Q: 5x+y35x+y3 for x=4x=4 and y=1y=1

A: Consider the given expression (P) and substitute the values of x and y.Substitute 4 for x and 1 for…

Q: y1 =  8x,  y2 =  (6x -  1), and y1 exceeds y2 by 2.

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Q: what if y(0) = 6 instead?

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Q: Y + 4kxz - 3 = 0 for x

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A: Given query is to solve for y.

Q: Find the value of ( x + y ) / (x - y ) if x = 6 and y = - 2.

A: The expression: x+yx-y

Q: Solve for y in terms of x   xy=x-y x2 +y2= x+y 2x+y=8

A: Given: To solve for y in terms of xxy=x-y x2 +y2= x+y 2x+y=8

Q: y = x+ – 4x³/2 (x > 0) (x>0)

A: Consider the function:

Q: End bahavior of y=(x²-5)(x-1)²(x+2)³

A: Given function is y=x2−5x−12x+23. We have to find the end behavior  limx→∞y and limx→−∞y. Use…

Q: What if y(0) = 5 instead?

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Q: -3y-9(2y+1)=7-5(6-y) solve for y

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Q: If (x2 - y2) = 10 and (x + y) = 2, find x and y.

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Q: #40 Find yll Hf 2x²+y²=4

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Q: Solve when x(0)=2 and y(0)=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.