# Definition of a linear differential equation

Differential Equations - Linear Equations In this section we solve linear first order differential equations, i.e. differential equations in the form y' + p(t) y = g(t).

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## Linear Differential Equation (Solution & Solved Examples)

• A differential equation, which has only the linear terms of the unknown or dependent variable and its derivatives, is known as a linear differential equation. It has no term

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## What are linear differential equations? Definition, Types and

A linear differential equation is a linear combination of derivatives, e.g. f ( x) y ‴ ( x) + g ( x) y ″ ( x) + h ( x) y ′ ( x) + s ( x) y ( x) + t ( x) = 0. Of course a general differential equation could have
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## Definition of linear differential equation

A linear differential equation of order n is an equation that can be written in the form P_0(x) \frac{d^ny}{dx^n}+P_1(x) \frac{d^{n-1}y}{dx^{n-1}}+P_2(x) \frac{d^{n-2}y}{dx^{n-2}}+\cdots+P_{n-1}(x) \frac{dy}{dx}+P_n(x)

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One plus one is two.