Find the particular solution of the differential equation (1+e2x)dy+(1+y2)exdx=0, given that y=1whenx=0.
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Find the order and degree (if defined) of the equation:
Find the orthogonal trajectories of xy=⋅
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The rate at which a substance cools in moving air is proportional to the difference between the temperatures of the substance and that of the air. If the temperature of the air is 290 K and the substance cools from 370 K to 330 K in 10 min, when will the temperature be 295 K?
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where a and b are specified constants and λ
is an arbitrary parameter. Find a differential equation satisfied by it.