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reviewed Approve Do the initial value problem $dy/dx=2y^{1/2}$ , y(0)=a has infinitely many solution for a=0.
Jul
18
awarded  Yearling
Jul
10
awarded  Popular Question
Jun
28
reviewed Approve What is the inverse of $2^x$?
Jun
27
reviewed Approve What does cross product mean in simple words?
Jun
27
answered Linear Algebra: Nullity and Invertibility
May
7
reviewed Approve Verification that $\int x\sin x=\sin x- x\cos x + C$ by differentiating both sides of the equation
Apr
11
comment Solve the differential equation using Taylor-series expansion
@Algohi I don't think it has a name. Googling "solve differential equation with Taylor series" brings up a few results you might find helpful.
Mar
28
comment Least norm solution to $Ax = b$
@mining If $A$ doesn't have full row rank, there are redundant constraints. As long as $b$ is in the column space of $A$ (i.e. $Ax=b$ is consistent), then the redundant constraints can be dropped so that $A$ has full for rank.
Mar
6
comment Matrix Multiplication in Maple
The standard manner I would use to multiply matrices is the dot operator; i.e. A.B; which should do the correct thing. I'm not sure why it would take so long to compute.
Mar
6
comment Matrix Multiplication in Maple
Is $B$ coming out as a column vector? Are you getting any error messages?
Mar
6
revised Matrix Multiplication in Maple
Fixed code block
Feb
12
awarded  Revival
Dec
23
reviewed Approve How much should I scale $dx$ and $dy$ individually to get a vector of required magnitude
Dec
23
answered How much should I scale $dx$ and $dy$ individually to get a vector of required magnitude
Dec
22
comment Can I use Runge-Kutta to solve these two equations?
Yes, you can use Runge-Kutta methods. By moving that term to the left, you get the system of odes $A\frac{d\mathbf{y}}{dt}=\mathbf{f}$. If you were using MATLAB to solve this, the $A$ is called the mass matrix (I think). Alternatively, you could multiply through by $A^{-1}$.
Dec
19
awarded  Constituent
Dec
9
comment use fundamental theorem of calculus to find a function $f(x)$ and a number $a$
@Devin Since $a$ is constant, $a=4$ for all $x$ as described in the answer below.
Dec
9
comment use fundamental theorem of calculus to find a function $f(x)$ and a number $a$
Hint: To find $a$, what happens at $x=4$?
Dec
8
awarded  Caucus