- #1

fan_103

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**1. dy/dx = 5-3y^2**

y(0)=2

## Homework Equations

**3. I just don't know where to start.Should I Differentiate again Or Use Bernoulli Eqn.PLZ HELP ME ASAP**

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- Thread starter fan_103
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In summary, a differential equation is a mathematical equation that relates an unknown function to its derivatives and is commonly used in various scientific fields. Solving a differential equation involves finding a function that satisfies the equation and any initial conditions given. They are important for modeling and predicting the behavior of complex systems and have applications in fields such as physics, engineering, economics, and biology. There are also software programs available for solving differential equations, using numerical methods to approximate solutions.

- #1

fan_103

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y(0)=2

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- #2

HallsofIvy

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That's a simple "separable" equation. Separate x and y and integrate.

- #3

fan_103

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ok thanks mate!

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Mark44

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When you're trying to solve a differential equation, you already have something involving the derivative of a function, so differentiating again wouldn't be a wise strategy.fan_103 said:1. dy/dx = 5-3y^2

y(0)=2

I just don't know where to start.Should I Differentiate again Or Use Bernoulli Eqn.PLZ HELP ME ASAP

A differential equation is a mathematical equation that relates an unknown function to its derivatives. It is commonly used to model and describe relationships in various scientific fields, such as physics, engineering, and biology.

The process of solving a differential equation involves finding a function that satisfies the equation and any initial conditions given. The methods used to solve a differential equation depend on its type, such as separable, linear, or exact.

Differential equations are important because they provide a way to model and predict the behavior of complex systems in science and engineering. They also allow for the development of mathematical models that can be used to solve real-world problems.

Differential equations have a wide range of applications in various fields, including physics, engineering, economics, and biology. They are used to model and analyze systems such as population growth, chemical reactions, and electrical circuits.

Yes, there are many software programs available for solving differential equations, such as MATLAB, Mathematica, and Maple. These programs use numerical methods to approximate solutions to differential equations and can handle complex equations that may be difficult to solve by hand.

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