# Tagged Questions

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### Diff. Eq. Example with Matrices

I'm currently working on a side project of mine that deals with $\sin(A)$ and $\cos(B)$, where $A,B\in\mathbb{C}^{nxn}$. I'm trying to find some interesting (or non-interesting) examples where one ...
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### Laplace transform of Differential Equation with a piecewise function

Hi I have this question and I am horribly stuck at one part and I cant seem to figure out if i did something wrong so any advice or help would be greatly apprecaited. Here is the question: ...
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### Dirac Delta Function, Initial Value Problem

Hi I finished this IVP but I cant seem to get the right answer can someone give me some advice as to where I went wrong and point me in the right direction as to how to fix it. Here is the problem and ...
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### How to solve this differential equation sinusoidal?

I can't find how to separate variables. $$y= \sin(xy')$$
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### Need help with simple system of differential equations

thanks to your help I advanced in computing differential equations, but now I encountered another problem I need help with - this time it is a system of differential equations: $$x_1'=-x_2$$ ...
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### finding an explicit formula from arctangent

Seems straight-forward but i can't get it right; I have this implicit equation: $$-2 \arctan{ \left( \frac{\sqrt{y-y^2}}{y} \right) } -x=c$$ where c is a constant. I've to find the explicit ...