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| Special types of a Second Order Differential Equations |
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| Given |
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| Integrate both sides, |
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| Integrating once again, |
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| Example: |
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| Solve the differential equation |
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  ,  . |
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| Solution: |
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| We have |
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| Integrating with respect to x, we have |
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| Integrating again with respect to x we have |
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| put cosecx + cotx = t |
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| =- log t = - log |cosec x +cot x | |
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| \ The solution is |
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| y= log |cosec x+ cot x| + 2x+ c2 |
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| Giving at x = p/2 = 0, y = 0 |
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