The linear differential equation of the first order is also called the Leibnitz’s linear equation. We will discuss two forms of Leibnitz’s linear equation, one as an equation in y and other as an equation in x. We will also learn to reduce Bernoulli’s linear differential equation to Leibnitz’s form. And in the next post, we will also discuss the higher order linear differential equations with constant coefficients.
The Linear differential equation is one of the most common topics in the gate exam syllabus. You can expect at least one question related to this topic every year. Hence, y
Leibnitz’s Linear Differential Equation
Linear differential equation in y is called Leibnitz’s equation in y and Linear differential equation in x is called the Leibnitz’s equation in x. We solve both types of the equation by calculating the integrating factor first. Watch the given video lecture attentively to learn to solve the Leibnitz’s linear equation. We have also discussed the example question to make the topic more clear.
Bernoulli’s Differential Equation
Bernoulli’s differential equations are the types of the equation which are easily reducible to Leibnitz’s linear equation. After reducing to Leibnitz’s form, we can easily solve the Bernoulli’s differential equation. In the next video, we will learn to solve Bernoulli’s differential equation with the help of an example. Examples make the video more clear, hence, we try to solve at least one example related to each topic in every video lectures.
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