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6 Chapter 6 contents

6 Differential Equations

By the end of this chapter you will have learned to solve differential equations:

\diamond of the form y=f(x)y^{\prime}=f(x);

\diamond of the form y=g(y)h(x)y^{\prime}=g(y)h(x);

\diamond of the form y+p(x)y=q(x)y^{\prime}+p(x)y=q(x);

\diamond of the form ay′′+by+cy=q(x)ay^{\prime\prime}+by^{\prime}+cy=q(x);

\diamond using Laplace transforms.