diff --git a/math1052/lecture-05.html b/math1052/lecture-05.html index a92ef1477..b6ab82b51 100644 --- a/math1052/lecture-05.html +++ b/math1052/lecture-05.html @@ -208,18 +208,18 @@
1 Ordinary Differential Equations

Important remark: - + The final two steps will not always be possible. - + Whenever you are asked to solve a separable ODE or IVP in this course you are supposed to always "go as far as possible". - + For good reasons we assume you are infinitely smart; - + not being able to compute simple integrals is never a valid excuse.

@@ -230,11 +230,11 @@
1 Ordinary Differential Equations
that we can't evaluate one of both of the integrals needed to solve the separable ODE. - + In this case, we can still write down an actual solution, be it a rather implicit one. - + Indeed, the solution to the IVP is given by \[ \int_{y_0}^y\frac{\dup t}{g(t)} = \int_{x_0}^x f(t) \dup t.