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P4 Topic 6: Second Order Differential Equations
Particular integral 1 backmore
Second order differential equations of this form:.
sode
have solutions with two parts: the complementary function and the particular integral. The type of particular integral depends on the nature of f(x).
The following display shows examples where f(x) is a quadratic function.







Summary
When f(x) is quadratic, the trial solution is y = px²+qx+r
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