How To Apply Euler's Theorem Of Homogeneous Functions And Its Deductions? Solved Example 1

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Euler's theorem of homogeneous functions is one of the fundamental results in multi-variable calculus and partial differentiation.

In this video, we are going to prove a result for the given function. The LHS consists of first ordered derivatives of given function. If the theorem and its deductions are used, the problem can be very quickly solved. Otherwise, it is going to take forever to obtain the derivatives!

In any engineering mathematics curriculum, the study of partial differentiation is vital to advanced topics such as partial differential equations, vector differential calculus and vector integral calculus.

This video will be useful to students of engineering mathematics and BSc. It would also help GATE aspirants in their preparation of various competitive examinations.

The narrator is a mechanical engineer and holds a masters degree from India's top institute, the Indian Institute of Science (IISc) Bangalore.

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