If you have a solution of the differential equation you can apply it to the equation and see if it's right.
Is there an effective method of checking a solution to a differential equation once you have solved it (or thought you have)? Using a calculator or even MathCAD.
Both implicitly and explicitly and with the use of an arbitrary constant?
I'm sorry for giving up. I'm getting really stressed out with the maths I'm trying to learn and and some aspects of this forum, but more on topic: I used the equation above as an example - the thing I wanted to check is this:
I thought i'd solved it with:
It's probably wrong - but I wondered whether there was an easy way of checking whether or not it was correct before trying to solve for C to find the value of the arbitrray constant for when y(0)=1
My course has given me a book of all the things I need to know when it comes to exam - it's like the bible - lol.
I have not came across sinh.
In the section showing the standard integrals, it gives me:
Could this be the same thing in a different format?
As you have discovered the hard way, both answers are correct. It is not uncommon for somethng like this to happen. You should research hyperbolic functions and inverse hyperbolic functions, just to fill out some useful mathematical background you haven't been formally taught.