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  • Differential Equation Solutions

    Topics || Problems

    Obtain the general solution of \( \sin x \sin y dx + \cos x \cos y dy = 0 \)

    \( \frac{\sin x dx}{\cos x} + \frac{\cos y dy}{\sin y} = 0\)

    \( \int{\frac{\sin x dx}{\cos x}} + \int{\frac{\cos y dy}{\sin y}} = \int{0} \)

    \( - ln (\cos x) + ln (\sin y) = ln c\)

    \( ln (\sin y) =ln (\cos x)+ ln c\)

    \( \sin y = c(\cos x) \)