Engineering Mathematics

Zero matrices examples?

Revathi G answered  •  4 weeks ago
A matrix where all the elements are zero.

The polynomial ar2+br+c=0 is called
  • a)
    characteristic polynomial
  • b)
    trivial polynomial
  • c)
    determinant polynomial
  • d)
    singular polynomial
Correct answer is option 'A'. Can you explain this answer?

Revathi G answered  •  4 weeks ago
It is called characteristic polynomial since we can find the fundamental solution set and the characteristic function in many methods like method of undetermined coefficients in elementary differential equations

The order ofthe differential equation of all tangent lines to the parabola y = x2is

... more

RAHUL KUMAR answered  •  Jan 30, 2020
Sol.[A]   The parametric form of the given equation is x = t, y = t2. The equation of any tangent at
t is 2xt = y t2. Differentiating, we get 2t = y1. Putting this value in the equation of tangent, we have 2 x y1/2 = y (y1/2)2 Þ 4xy1 = 4y y12
                The order of this equation is one.

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Exact deferential equation ?

SHIVAM KUMAR answered  •  Oct 25, 2019
Exact Equations. A first‐order differential equation is one containing a first—but no higher—derivative of the unknown function. ... First, bring the dx term over to the left‐hand side to write the equation in standard form: Therefore, M( x,y) = y + cos y – cos x, and N ( x, y) = x – x sin y.

What's a differential equation ?

AKASH TRIVEDI answered  •  Oct 25, 2019
A differential equation is a mathematical equation that relates some function with its derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two.

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