Original
Solve the initial value problem (IVP):
{{ENV_431}}
{{CMD_432}}
First, we have to solve the differential equation. The solution is clearly an antiderivative of {{MATH_433}}.
{{MATH_434}}
where {{MATH_435}} is an arbitrary constant. We have found the general solution of the DE and this family of solutions is illustrated by the figure below.
{{CMD_436}}
{{ENV_437}}
{{CMD_438}}
Now we must find the solution that also satisfies the initial condition
{{MATH_439}}.