The set of solutions (scalar functions) to a linear differential equations is a vector space of dimention $n$, where $n$ is the order of your differential equation.

Why do you assume continuous compounding and payments? I've always seen this kind of problem handled by difference equations (recurrence relations), rather than differential equations.

I start by taking polar coordinates and change the system to $\dot r=-r^3\sin\theta, \dot\theta=r^3\cos\theta$ The phase portrait then looks like the one a stable centre, right? How …

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May 28, 2017 · I Have an problem with solving differential equation. My solutions is other than in book from equation from. Equation has form: $$ (3x + 2y +1) \\,dx - (3x+2y -1) = 0$$ In first …

I've encountered the problem which I believe intends to address Cartan structure equations, while reading the book Modern Geometry by Dubrovin, Fomenko and Novikov. It goes like: (Here …

Thus, these differential equations are homogeneous. Eq. (3), of the form $$ \mathcal {D} u = f \neq 0 $$ is non-homogeneous. The definition of homogeneity as a multiplicative scaling in …

See this answer in Quora: What is the difference between derivative and differential?. In simple words, the rate of change of function is called as a derivative and differential is the actual …

A steady state solution is a solution for a differential equation where the value of the solution function either approaches zero or is bounded as t approaches infinity.

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