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Logarythmic

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How can I solve the two differential equations

[tex]p(x)y''(x) + q(x)y'(x) + a \sin{y(x)} = 0 [/tex]

and

[tex]ay''(x) + p(x)y(x) + b \cos{y(x)} = 0 [/tex]

?

Are there any general method for solving an equation of the form

[tex]p(x)y''(x) + q(x)y'(x) + r(x)y(x) + a \sin{y(x)} = 0[/tex]

or the similar one with cos instead of sin?

[tex]p(x)y''(x) + q(x)y'(x) + a \sin{y(x)} = 0 [/tex]

and

[tex]ay''(x) + p(x)y(x) + b \cos{y(x)} = 0 [/tex]

?

Are there any general method for solving an equation of the form

[tex]p(x)y''(x) + q(x)y'(x) + r(x)y(x) + a \sin{y(x)} = 0[/tex]

or the similar one with cos instead of sin?

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