ap-calculus-ab 2000 Q6

ap-calculus-ab · USA · free-response Differential equations Solving Separable DEs with Initial Conditions
Consider the differential equation $\frac { d y } { d x } = \frac { 3 x ^ { 2 } } { e ^ { 2 y } }$.
(a) Find a solution $y = f ( x )$ to the differential equation satisfying $f ( 0 ) = \frac { 1 } { 2 }$.
(b) Find the domain and range of the function $f$ found in part (a). 
Consider the differential equation $\frac { d y } { d x } = \frac { 3 x ^ { 2 } } { e ^ { 2 y } }$.\\
(a) Find a solution $y = f ( x )$ to the differential equation satisfying $f ( 0 ) = \frac { 1 } { 2 }$.\\
(b) Find the domain and range of the function $f$ found in part (a).
Paper Questions
Q1 Q2 Q3 Q4 Q5 Q6