Yet another generation of students in ODE classes is forced to buy an exorbitantly priced new edition of the Boyce and DiPrima ODE text. Thank you for this wonderful and barely expanded ninth edition.
Sample problem: 2.3.21 Assume that the conditions are as in problem 20 except that there...
Homework Statement
A projectile is fired from a gun (adjusted to give maximum range) with velocity v_{0}. The projectile passes through two points at a height h. The problem asks us to show that d=\frac{v_{0}}{g}\sqrt{v^{2}_{0}-4gh}
where d is the distance between the two points at height...
I thought this question was elementary... but I apparently know less than I thought I did.
Homework Statement
Use spherical coordinates to evaluate \iiint_{E} x^{2}+y^{2}+z^{2}dV
Where E is the ball x^{2}+y^{2}+z^{2}\leq 16
Homework Equations
x^{2}+y^{2}+z^{2}=\rho^{2}
The...
I understand the answer to this part of the problem intuitively but there's definitely something in the math that I'm missing--
Homework Statement
Along the axis through the center of a charged disk, for a point P at a distance x from the center, the potential will be...