Integral Calculus Including Differential Equations Site

Lyra, a young apprentice, faced her final trial: to tame the , a rogue whirlpool deep beneath the city that pulsed with erratic, destructive energy. If she failed, Aethelburg would be torn apart by the year's first monsoon.

She multiplied through:

"48 flux-units," she whispered.

The integrating factor ( \mu(r) ) was:

[ v(r) = \frac{3}{4} r^3 ]

[ \frac{dv}{dr} + \frac{v}{r} = 3r^2 ]

Integrating both sides with respect to ( r ): Integral calculus including differential equations