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=# |
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