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4h
reviewed Close Number of elements of order $2$ in a group of even order
4h
reviewed Close If N is a submodule of M, then λ(M) = λ(N) + λ(M/N).
5h
reviewed Close What are the ages?
5h
reviewed Close Impossible Math Riddle
1d
reviewed Close Can two perfect squares average to a third perfect square?
1d
answered Difference between Pure and Applied Mathematics?
2d
comment Finding de Dr. Bronowski's number
I'm voting to close this question as off-topic because it is a duplicate of puzzling.stackexchange.com/q/15598/5095
2d
comment $f '(x) = -f(x)$ and $f(1) = 1$, Solve for $f(2)$
You're welcome.
2d
comment $f '(x) = -f(x)$ and $f(1) = 1$, Solve for $f(2)$
Yes. So $f(x)=e\cdot e^{-x}=e^{1-x}$. Thus, $f(2)=e^{1-2}=e^{-1}$.
2d
comment $f '(x) = -f(x)$ and $f(1) = 1$, Solve for $f(2)$
No. $f(x)=Ce^{-x}$. This results in $f'(x)=-f(x)$. Now, since $f(1)=1$, that means that $f(1)=Ce^{-1}=1$. Find the value of $C$ and use this to find $f(2)$.
2d
comment $f '(x) = -f(x)$ and $f(1) = 1$, Solve for $f(2)$
Yes. So now all you have to do is use the initial condition to find the value of the constant $C$.
2d
answered $f '(x) = -f(x)$ and $f(1) = 1$, Solve for $f(2)$
2d
comment $f '(x) = -f(x)$ and $f(1) = 1$, Solve for $f(2)$
What function is of the same form as its derivative? (Hint: try an exponential function.)
2d
reviewed Close Vector equation on plane
2d
reviewed Close Differential Equation ODE.
2d
comment Differential Equation ODE.
I'm voting to close this question as off-topic because it is a duplicate of stackoverflow.com/questions/30493782/differential-equation-ode#
2d
reviewed Close $3^x + 4^y = 5^z$
2d
reviewed Close Differential equation with steps
2d
comment Differential equation with steps
I'm voting to close this question as off-topic because it is a duplicate of math.stackexchange.com/questions/1300864/…
2d
reviewed Close Maximum & minimum area of rectangle outside another.