Find the General Solution of the Differential Equation Below and Check

question 115

Multiple Choice

Find the general solution of the differential equation below and check the result by differentiation. $$\frac { d Y } { d u } = \frac { 9 } { 4 } u ^ { \frac { 5 } { 4 } }$$

• A)
• \[Y ( u ) = \frac { 45 } { 16 } u ^ { \frac { 9 } { 4 } } + C\]
• B)
• \[Y ( u ) = u ^ { \frac { 9 } { 4 } } + C\]
• C)
• \[Y ( u ) = \frac { 45 } { 16 } u ^ { \frac { 1 } { 4 } } + C ^ { 4 }\]
• D)
• \[Y ( u ) = \frac { 9 } { 4 } u ^ { \frac { 9 } { 4 } } + C\]
• E)
• \[Y ( u ) = u ^ { \frac { 9 } { 4 } }\]

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Definitions:

Forms Of Matter

The various states in which matter can exist, typically including solid, liquid, gas, and plasma.

Solids

Substances with a definite shape and volume, characterized by strong intermolecular forces and low kinetic energy among particles.

Liquids

A state of matter that has a definite volume but no fixed shape, and flows readily to conform to the shape of its container.

Covalent Bonds

A type of chemical bond where atoms share pairs of electrons.