# Steps For Solving First Order Differential Equation

Steps:

1) TRANSFORM the differential equation to the form:

$$\frac{dy}{dx} = f \left( x,y \right)$$

2) Test for Linear form:

$$f \left( x,y \right) = g \left( x \right) y + h \left( x \right)$$

3) Test for Bernoulli equation:

$$f \left( x,y \right) = g \left( x \right) y + h \left( x \right) y^{a}$$

4) Test for Variable separable:

$$f \left( x,y \right) = g \left( x \right) h \left( y \right)$$

5) Test for Homogeneity:

$$f \left( x,y \right) = f \left( tx, ty \right)$$

6) Test for Exactness

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