Given a differential equation as $$y\frac{\text{d}y}{\text{d}x}=3$$ and y(0)=1. Find the particular solution of this equation by using Separable Variable Method.

$$\frac{y^2}{2}=3x+\frac{1}{2}$$

Separate the variable in the equation $$\left(xy+4y\right)\frac{dy}{dx}=1$$

$$y\ dy=\frac{\text{d}x}{x+4}$$

Find the integrating factor of equation: $$y$$

$$\mu\left(x\right)=\frac{1}{x}$$

Differential Equations Flashcards

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FLASHCARD QUESTION

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Order=3, Degree=5

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Methods to solve DE are:

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Integrating Factor and Separable Variable Methods

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TWO types of solutions of Differential Equations

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General and Particular Solutions

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