Test Preparation on Mathematics-Differential Equation

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The order of the differential equation whose general solution is given by y = c1e^{x+c2} + (c3 + c4) . sin (x + c5), where c1, c2, c3, c4, c5 are arbitrary constant is ________.

3.

The degree of the differential equation of all curves having normal of constant length c is.

4.

The differential equation cannot be expressed in a polynomial form

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7.

The degree and order of the differential equation of the family of all parabolas whose axis is x-axis, are respectively.

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9.

The differential equation whose solution is Ax2 + By2 = 1, where A and B are arbitrary constants is of.

10.

Order and degree of differential equation of all tangent lines to the parabola y2 = 4ax is________ .