Utwente POC: First-order differential equations
Solution methods for first-order ODEs - Homework: Step 1/3
In this exercise, which consists of three steps, we will solve the following differential equation with initial condition \[y' = 2 y^2\phantom{xxx}, \phantom{xxx}
\rv{x,y} = \rv{7,11}\]
Clearly, the function #y=0# is a solution of the ODE that does not satisfy the initial condition.
As a first step, give the general solution excluding #y=0#. Your answer should be an expression in the independent variable #x# and the constant of integration #C#, in which no other variables occur.
\rv{x,y} = \rv{7,11}\]
Clearly, the function #y=0# is a solution of the ODE that does not satisfy the initial condition.
As a first step, give the general solution excluding #y=0#. Your answer should be an expression in the independent variable #x# and the constant of integration #C#, in which no other variables occur.
| #y=# |
Unlock full access
Teacher access
Request a demo account. We will help you get started with our digital learning environment.
Student access
Is your university not a partner?
Get access to our courses via Pass Your Math independent of your university. See pricing and more.
Or visit omptest.org if jou are taking an OMPT exam.
Or visit omptest.org if jou are taking an OMPT exam.
