mu''(t) + ku(t) = 0

Suppose m and k are positive numbers. Find u so that mu''(t) + ku(t)= 0 for all numbers t and u(0)=1 and u'(0)=2. (note: u'' = second derivative of u) Please clarify any shorthand that you are using. Thanks!

Outline a Computer Code in C++ to Obtain the Numerical Approx to ODE

Outline a computer code for obtaining numerical approximations to y on [0,1] so that y(0)= 0 and y'(t) = ((y(t))^2) + t^2 for all numbers t.

Outline a Computer Code in C++ to Obtain Numerical Approx to ODE

Outline a computer code for obtaining numerical approximations to y on [0,1] so that y(0)= 0 and y'(t) = ((y(t))^2) + t^2 for all numbers t.

A word problem involving marginal density, conditional density and proportion.

A tobacco company produces blends of tobacco with each blend containing various proportions of Turkish, domestic and other tobacco. The proportion of Turkish and domestic in a blend are random variables (X = Turkish and Y = domestic) with joint density function f (x,y) = { 24xy, 0 < or= x < or=1, 0 < or = y < or=1 x + y < or=1 0, elsewhere A. Find the marginal density for the proportion of the domestic tobacco. B. Find the conditional density of X given Y = 3/4 C. Find the probability that the proportion of Turkish tobacco is less than 1/8, given that the blend contains 3/4 domestic tobacco PLEASE SEE ATTACHED FILE FOR CLEARER, TYPED COPY OF TH... click for more

Sketch direction fields for the following ODE's

Sketch the direction fields for the following ODE's. Make use of isoclines wherever possible. a. y' = y - x + 1 b. y' = 2x c. y' = y - 1 d. y' = xsquared + ysquared - 1 e. y' = y - xsquared Please note y'=y prime. It looks diff, when i see the ? #2. In each direction field above sketch integral curves for which y(o) = -1, y(0) = 1, y(2)=1