The Blasius equation- d3d- 3-fd2f2d- 2-0- is a

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The Blasius e...

Question

The Blasius equation, $\frac{d^{3}}{d η^{3}} + \frac{f d^{2} f}{2 d η^{2}} = 0$ , is a

second order nonlinear ordinary differential equation

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third order nonlinear ordinary differential equation

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third order linear ordinary differential equation

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mixed order nonlinear ordinary differential equation

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Solution

The correct option is B third order nonlinear ordinary differential equation
Given,

$\frac{d^{3} f}{d η^{3}} + \frac{f}{2} \frac{d^{2} f}{d η^{2}}      c r o s s p r o d u c t t e r m = 0$

Hence, non-linear differential equation obviously order is three.

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Q. If

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Q. If

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then the value of expression :

E = \frac{ω - d_{1}}{ω^{2} - d_{1}} \cdot \frac{ω - d_{2}}{ω^{2} - d_{2}} \cdot \frac{ω - d_{3}}{ω^{2} - d_{3}} \cdot \frac{ω - d_{4}}{ω^{2} - d_{4}}

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The Blasius equation, d3dη3+fd2f2dη2=0, is a

The correct option is B third order nonlinear ordinary differential equation Given, d3fdη3+f2d2fdη2crossproductterm=0 Hence, non-linear differential equation obviously order is three.

The Blasius equation, $\frac{d^{3}}{d η^{3}} + \frac{f d^{2} f}{2 d η^{2}} = 0$ , is a

The correct option is B third order nonlinear ordinary differential equation
Given,

$\frac{d^{3} f}{d η^{3}} + \frac{f}{2} \frac{d^{2} f}{d η^{2}}      c r o s s p r o d u c t t e r m = 0$

Hence, non-linear differential equation obviously order is three.