I have the following differential equation: $$ \alpha R^T (d_s^0 \times T_s^0) = \ddot{R}^T d_s^0$$ where $\alpha$ is a constant, $d_s^0 \perp T_s^0$ known constant vectors and $R^T$ is a rotation matrix. I don't know how to solve for $\ddot{R}^T$
2026-04-01 00:29:49.1775003389
matrix diferential equation
28 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ORDINARY-DIFFERENTIAL-EQUATIONS
- The Runge-Kutta method for a system of equations
- Analytical solution of a nonlinear ordinary differential equation
- Stability of system of ordinary nonlinear differential equations
- Maximal interval of existence of the IVP
- Power series solution of $y''+e^xy' - y=0$
- Change of variables in a differential equation
- Dimension of solution space of homogeneous differential equation, proof
- Solve the initial value problem $x^2y'+y(x-y)=0$
- Stability of system of parameters $\kappa, \lambda$ when there is a zero eigenvalue
- Derive an equation with Faraday's law
Related Questions in VECTORS
- Proof that $\left(\vec a \times \vec b \right) \times \vec a = 0$ using index notation.
- Constrain coordinates of a point into a circle
- Why is the derivative of a vector in polar form the cross product?
- Why does AB+BC=AC when adding vectors?
- Prove if the following vectors are orthonormal set
- Stokes theorem integral, normal vector confusion
- Finding a unit vector that gives the maximum directional derivative of a vector field
- Given two non-diagonal points of a square, find the other 2 in closed form
- $dr$ in polar co-ordinates
- How to find reflection of $(a,b)$ along $y=x, y = -x$
Related Questions in ROTATIONS
- Properties of a eclipse on a rotated plane to see a perfect circle from the original plane view?
- why images are related by an affine transformation in following specific case?(background in computer vision required)
- Proving equations with respect to skew-symmetric matrix property
- Finding matrix linear transformation
- A property of orthogonal matrices
- Express 2D point coordinates in a rotated and translated CS
- explicit description of eigenvector of a rotation
- Finding the Euler angle/axis from a 2 axes rotation but that lies on the original 2 axes' plane
- How to find a rectangle's rotation amount that is inscribed inside an axis-aligned rectangle?
- Change of basis with rotation matrices
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?