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# Problem no. 161

posted by: oly, first posted: 31. Dec. 2007, last mod.: 29. Apr. 2008

» mathematical analysis » differential equations » ordinary differential equation » separable ODR

» mathematical analysis » differential equations » ordinary differential equation » separable ODR

**Question:**

Solve the differential equation:

**Solution:**

divide by :

In our solution y is the dependent variable and x is the independent variable. We can rewrite our equation with using :

multiply by dx:

integrating both sides:

we apply formulas and :

we solve integrals using the formula :

multiply by :

**keywords:**

differential equation; ordinary differential equation; separable ordinary differential equation;

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