I got stuck on these on my homework, and was hoping someone could help be out. 1. ysqrt(1-x^2)y' - xsqrt(1-y^2) = 0 Initial condition is y(0) = 1 2. dr/ds = e^(r+s) Initial condition is r(1) = 0 Thanks!
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Originally Posted by alreadyinuse I got stuck on these on my homework, and was hoping someone could help be out. 1. ysqrt(1-x^2)y' - xsqrt(1-y^2) = 0 Mr F says: ...... Initial condition is y(0) = 1 2. dr/ds = e^(r+s) Mr F says: Writing might make the DE more obviously seperable to you ..... Initial condition is r(1) = 0 Thanks! ..
Originally Posted by alreadyinuse I got stuck on these on my homework, and was hoping someone could help be out. 1. ysqrt(1-x^2)y' - xsqrt(1-y^2) = 0 Initial condition is y(0) = 1 2. dr/ds = e^(r+s) Initial condition is r(1) = 0 Thanks! The first is seperable... Just integrate both sides The second is also seperable. note that This gives take the integral of both sides
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