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Find the general solution of each of the following differential equations: `sin^(3)xdx -siny dy =0` |
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Answer» Correct Answer - `12 cosy = 9 cosx -cos3x +C` `siny dy = sin^(3)x dx = ((3sinx-sin3x))/(4)dx " " [because sin 3x = 3 sinx -4 sin^(3)x]` `therefore int siny dy =(3)/(4)intsinx dx -(1)/(4)int sin3x dx +C.` |
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