Linked Questions
10 questions linked to/from DSolve not finding solution I expected
0
votes
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DSolve not returning "trivial" solutions [duplicate]
When I enter this
DSolve[y'[x]^2 + y[x]^2 == 1, y[x], x]
the answer I get is
...
- 215
1
vote
0
answers
32
views
Solving a simple ODE [duplicate]
I am trying to solve $y(x)' = \sqrt{y(x)}$ with initial condition $y(0)=0$ for $x\in \mathbb{R}$. I have tried this:
DSolve[{y'[x] == Sqrt[y[x]], y[0] == 0}, y[x], x]
but this gives
{{y[x] -> x^2/4}...
- 163
12
votes
2
answers
3k
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DSolve misses a solution of a differential equation
[Note that in the cited duplicate, DSolve not finding solution I expected, the general solution returned by DSolve is missing a solution for quite different reasons ...
- 121
3
votes
1
answer
4k
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Solving a differential equation with initial conditions
I want to get a solution to an ordinary differential equation with imposed initial conditions. I'm confused about why my following code doesn't work:
...
- 517
6
votes
2
answers
302
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How to obtain these ODE solutions using DSolve?
V 12.1.1 on windows 10
Any one has any suggestions how to persuade Mathematica to obtain these solutions below?
I have small collection of such ODE's from textbooks. But do not know now how to obtain ...
- 150k
5
votes
1
answer
2k
views
DSolve with Piecewise Function in System of DEQs
I have been messing around with this problem from MSE, which is given by:
$$
\ddot{x} = \begin{cases}
-x + c\cdot \operatorname{sgn}(x)& |x| > c\\
0 & |x|\leq c
\end{cases}
$$
where $c &...
- 3,462
1
vote
2
answers
429
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DSolve doesn't give all the solutions
I'm trying to solve the following ODE
$\frac{df}{dx}=-\sqrt{2}\left(\frac{1}{4}-2f(x)^{2}\right)$
In the text where it appears, the authors make a distinction into three cases: $f=-1/(2\sqrt{2})$, $...
- 157
2
votes
1
answer
615
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I was wondering why I got the different answer of the same differential equation in two different ways?
Cross-posted in https://www.zhihu.com/question/40784580
In Mathematica I got the different answer of the same differential equation respectively in analytical method and numerical method. At the ...
- 615
2
votes
1
answer
470
views
How can I get DSolve to solve my ODE?
I evaluated
DSolve[{x[t] x''[t] + x'[t]^2 - g x[t] == 0, x[0] == 0, x'[0] == 0}, x, t]
and the output was {}. But this ODE ...
- 103
2
votes
1
answer
188
views
How to Solve $y'(x)=x\ln(y(x))$ with $y(1)=1$ using DSolve
The solution to $y'=x \ln(y)$ with initial conditions $y(1)=1$ is $y=1$.
How to persuade DSolve to obtain this solution?
...
- 150k