Consider the two differential equations da dt = (ra)(x - b)(x-c), and (a-x)(b-x)(c-x), dt each having the critical points a, b and c; suppose that a < b < c. For one of these equations, only the critical point b is stable; for the other equation, b is the only unstable critical point. Construct phase diagrams for the two equations to determine which is which. Without attempting to solve either equation explicitly, make rough sketches of typical solution curves for each.

Q: 98-3y-4

A: topic - algebraic operations like terms are added and subtracted to like terms

Q: 64y2+7=32

A: 64y2+7=32

Q: x² ,2 xp V16-x2

A:

Q: Evaluate 1,C5 and P,

A: For 12C5, The formula of combination is,   Substitute the values in the above equation.   Thus,…

Q: Save dre invX+3

A:

Q: 4x-10 14 =10

A:

Q: 25x4y2 − 36

A: This is is simple factorization question  Formula used (a2-b2)=(a+b)(a-b)

Q: Find foda + C

A:

Q: 8P4 11C7

A:

Q: -5 -2 1

A:

Q: 3x8 x4x7x3x4x9=

A:

Q: SxV4 + x?dx

A: We have to find integral

Q: 2x4x3x4x5

A: The given multiplication problem is solved below.

Q: One model for expenditures at high school gives the cosr C, in dollars per pupil, as a function of…

A: The quadratic equation, y=ax2+bx+c can be expressed in the vertex form as y=a(x-h)2+k, where, the…

Q: The number of houses that can be served by a water pipe varies directly as the square of the…

A: Given that, The number of houses that can be served by a water pipe varies directly as the square of…

Q: VVnat doe

A: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…