For the Differential Equation, Find the Particular Solution If $y ( 0 ) = 1$

question 12

Multiple Choice

For the differential equation, find the particular solution if $y ( 0 ) = 1$ . $\frac { \mathrm { d } y } { \mathrm {~d} x } = x ( y + 5 )$

• A) \(y = e ^ { \frac { x } { 2 } } - 6\)
• B) \(y = 6 e ^ { x ^ { 2 } } + 5\)
• C) \(y = 6 e ^ { \frac { x ^ { 2 } } { 2 } } - 5\)
• D) \(y = 12 e ^ { \frac { x ^ { 2 } } { 2 } } + 5\)
• E) \(y = 6 e ^ { 2 x ^ { 2 } }\)

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Definitions:

Iodomethane

An organoiodine compound with the chemical formula CH3I, used in various chemical reactions.

Reaction Rate

The rate at which substances change into different substances in a chemical process.

Resonance Structures

Different Lewis structures that represent the same molecule, showing the delocalization of electrons.

Intermediate

An intermediate in chemistry is a transient species within a chemical reaction that is formed from the reactants and proceeds to form the final product.