This calculus video tutorial provides a basic introduction into solving bernoulli's equation as it relates to differential equations. You need to write the
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Example 1: Solve. dy dx + x 5 y = x 5 y 7. It is a Bernoulli equation with P (x)=x 5, Q (x)=x 5, and n=7, let's try the substitution: u = y 1βn. u = y -6. In terms of y that is: y = u (β1 6) Differentiate y with respect to x: dy dx = β1 6 u (β7 6) du dx.
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The most common example of Bernoulliβs principle is that of a fluid flowing through a horizontal pipe, which narrows in the middle and then opens up again. This is easy to
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Math is a way of solving problems by using numbers and equations.
dy dx + 2xy = x2y2 To solve the differential equation, let v = y1 - n where n is the exponent of y2. v = y - 1 Solve the equation for y. y = v - 1 Take the derivative of y with respect to x. yβ² = v - 1 Take