■♤Differentiate for X if Dy/Dx=0♤■
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Given :
A differential equation (dy/dx) + sin(x) = 0
To find :
Solution of differential equation = ?
Solution :
=> dy/dx + sin(x) = 0
=> dy/dx = - sin(x)
=> dy = - sin(x) dx
Now integrate both side with respect to ' x '
=> ∫dy = - ∫ sin(x).dx
=> y = - [-cos(x)] + c
=> y = cos(x) + c
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