I'm having a equation $\dfrac{d}{dt}=\dfrac{l}{mr^2}\dfrac{d}{d\varphi}$ which I'm supposed to substitute into $m\ddot{r}-\dfrac{l^{2}}{m r^{3}}=f(r)$ and have a differential equation $\dfrac{1}{r^2}\dfrac{d}{d\varphi}\left(\dfrac{1}{mr^2}\dfrac{dr}{d\varphi}\right)-\dfrac{l^2}{mr^3}=f(r)$ but somehow I just have a huge problem with it. Hope you can help me!
2026-04-03 19:15:29.1775243729
Substituting angular momentum equation to the equation of motion
29 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in SUBSTITUTION
- strange partial integration
- $\int \ x\sqrt{1-x^2}\,dx$, by the substitution $x= \cos t$
- What is the range of the function $f(x)=\frac{4x(x^2+1)}{x^2+(x^2+1)^2}$?
- polar coordinate subtitution
- Trouble computing $\int_0^\pi e^{ix} dx$
- Symmetric polynomial written in elementary polynomials
- Prove that $\frac{1}{\sqrt{ab+a+2}}+ \frac{1}{\sqrt{bc+b+2}}+ \frac{1}{\sqrt{ac+c+2}} \leq \frac{3}{2}$
- Polynomial Equation Problem with Complex Roots
- Integral involving logarithmics and powers: $ \int_{0}^{D} z \cdot (\sqrt{1+z^{a}})^{b} \cdot \ln(\sqrt{1+z^{a}})\; \mathrm dz $
- Inequality with $ab+bc+ca=3$
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?