Solve the following initial value problem. By this we mean that you should find ( r=r(t) ) which satisfies both equations below. (See the linked example.) [ frac{d r}{d t}=3 cos (t), quad rleft(-frac{pi}{4} ight)=15 ] ANSWER: ( r(t)=3 sin (mathrm{t})+15-3 ) sqrt(2)/2
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To find \( r(t) \), we need to integrate both sides of the equation with respect to \( t \). Show more…
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