Solving a differential equation based on integrals

by dalta   Last Updated July 12, 2019 10:20 AM - source

It is my first week dealing with Differential Equations, and I am totally lost at solving the following equation:


Any help would be greatly appreciated!

Answers 1

From $\int^x_0(x-t)y(t)dt=2x+\int^x_0y(t)dt$ we derive

$$x\int^x_0y(t)dt -\int_0^xty(t)dt=2x+\int^x_0y(t)dt.$$

If we differentiate we get




Differentiation once again yields


Can you proceed ?

July 12, 2019 10:09 AM

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