Write and solve the differential equation that models the following verbal statement:The rate of change of y with respect to r is proportional to .
A) ,
B) ,
C) ,
D) ,
E) ,

Question

Write and solve the differential equation that models the following verbal statement:The rate of change of y with respect to r is proportional to  .
A) , 
B) , 
C) , 
D) , 
E) ,

Quizplus · Accepted Answer

We can write the given statement as dy/dr = k * 11ec1854_fd8d_a30e_acfc_07b7091f1696_TBX8702_11, where k is the constant of proportionality. This is a separable differential equation, which can be written as dy/11ec1854_fd8d_a30e_acfc_07b7091f1696_TBX8702_11 = k dr. Integrating both sides, we get y = k * 11ec1854_fd8d_a30f_acfc_fb450fb6aeea_TBX8702_11 + C, where C is the constant of integration. Therefore, the correct answer is choice B.

Write and Solve the Differential Equation That Models the Following