Asked by TayB

Find the solution of the differential equation that satisfies the given initial condition.
dy/dx= x/y, y(0) = −7

Answers

Answered by Steve
dy/dx = x/y
y dy = x dx
y^2 = x^2 + c

49 = 0 + c
c = 49

y^2 - x^2 = 49
Answered by TayB
Stave do you mean that the answer would be y=-sqrt(x^2+49)?
Answered by Steve
yes.
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