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Solve the ODE by integration.

Chapter 1, Problem 1.1

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QUESTION:

Solve the ODE by integration

\(y^{\prime}=-\sin \pi x\)

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QUESTION:

Solve the ODE by integration

\(y^{\prime}=-\sin \pi x\)

ANSWER:

Step 1 of 4

An ordinary differential equation is an equation that is defined for one or more functions of one independent variable and its derivatives.

The notations used for the derivatives in these ordinary differential equations are \(\frac{{dy}}{{dx}} = y',\frac{{{d^2}y}}{{d{x^2}}} = y'',\frac{{{d^3}y}}{{d{x^3}}} = y''',\frac{{{d^n}y}}{{d{x^n}}} = {y^n}\).

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