Let $c$ be a positive number. A differential equation of the form
$$\frac { d y } { d t } = k y ^ { 1 + c }$$
where $k$ is a positive constant is called a doomsday equation because the exponent in the expression $k y ^ { 1 + c }$ is larger than the exponent 1 for natural growth. An especially prolific breed of rabbits has the growth term $k y ^ { 1.05 }$. If 4 such rabbits breed initially and the warren has 23 rabbits after 6 months, then when is doomsday?

Question

Quizplus · Accepted Answer

The Answer of Let $c$ be a positive number. A differential equation of the form
$$\frac { d y } { d t } = k y ^ { 1 + c }$$
where $k$ is a positive constant is called a doomsday equation because the exponent in the expression $k y ^ { 1 + c }$ is larger than the exponent 1 for natural growth. An especially prolific breed of rabbits has the growth term $k y ^ { 1.05 }$. If 4 such rabbits breed initially and the warren has 23 rabbits after 6 months, then when is doomsday?

Let ccc Be a Positive Number dydt=ky1+c\frac { d y } { d t } = k y ^ { 1 + c }dtdy​=ky1+c

Let $c$ Be a Positive Number $\frac { d y } { d t } = k y ^ { 1 + c }$