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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 a⁢y′′+b⁢y′+c⁢y=q⁢(x)ay^{\prime\prime}+by^{\prime}+cy=q(x);

⋄\diamond using Laplace transforms.