Verify that the indicated function y = p(x) is an explicit solution of the given first-order...

 

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Verify that the indicated function y = p(x) is an explicit solution of the given first-order differential equation. 2y=y3 cos(x); y = (1 - sin(x))-1/2 When y = (1-sin(x))-1/2, 2y= Thus, in terms of x, y cos(x) = Since the left and right hand sides of the differential equation are equal when (1 - sin(x))-1/2 is substituted for y, y = (1-sin(x))-1/2 is a solution. Verify that the indicated function y = p(x) is an explicit solution of the given first-order differential equation. 2y=y3 cos(x); y = (1 - sin(x))-1/2 When y = (1-sin(x))-1/2, 2y= Thus, in terms of x, y cos(x) = Since the left and right hand sides of the differential equation are equal when (1 - sin(x))-1/2 is substituted for y, y = (1-sin(x))-1/2 is a solution.

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To verify that the given function y 1sinx12 is an explicit solution of the firstorder ... View the full answer