-d-dx-dy-dx-d-y-dx-Is this correct-

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Standard VIII

Mathematics

Algebraic Identities

(d/dx)(dy/dx)...

Question

(d/dx)(dy/dx)=(d²y)/(dx)² Is this correct?

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Solution

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Similar questions

\frac{d^{2} y}{d x^{2}} + sin (\frac{d y}{d x}) + y 0

Find order and degree of this

D E

Which of the following differential equations has y=x as one of its particular solution?
(a) $\frac{d^{2} y}{d x^{2}} - x^{2} \frac{d y}{d x} + x y = x$
(b) $\frac{d^{2} y}{d x^{2}} + x \frac{d y}{d x} + x y = x$
(c) $\frac{d^{2} y}{d x^{2}} - x^{2} \frac{d y}{d x} + x y = 0$
(d) $\frac{d^{2} y}{d x^{2}} + x \frac{d y}{d x} + x y = 0$

Q. The degree of the differential equation

\frac{d^{3} y}{d x^{3}} + 3 \frac{d^{2} y}{d x^{2}} = x^{2} log \frac{d^{3} y}{d x^{3}}

is:

{(\frac{d^{3} y}{{d x}^{3}})}^{2 / 3} + 4 - 3 \frac{d^{2} y}{{d x}^{2}} + 5 \frac{d y}{d x} = 0

Q. Degree of

{[\frac{d^{2} y}{d x^{2}} + {(\frac{d y}{d x})}^{2}]}^{3 / 2} = k \frac{d^{2} y}{d x^{2}}

is:

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