Solve the Initial Value Problem $$\frac { d y } { d t } + 5 y = 3 ; y ( 0 ) = 1$$

question 5

Multiple Choice

Solve the initial value problem.
- $$\frac { d y } { d t } + 5 y = 3 ; y ( 0 ) = 1$$

• A) \(y = \frac { 3 } { 5 } e ^ { - 5 t } + \frac { 2 } { 5 }\)
• B) \(y = \frac { 2 } { 5 } e ^ { 5 t } + \frac { 3 } { 5 }\)
• C) \(y = \frac { 2 } { 5 } e ^ { - 5 t } + \frac { 3 } { 5 }\)
• D) \(y = \frac { 3 } { 5 } e ^ { 5 t } + \frac { 2 } { 5 }\)

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Definitions:

Cell-Mediated Immunity

A type of immunity where T cells directly attack and destroy infected cells or tumor cells.

Antibody-Mediated Immunity

A type of adaptive immunity where B cells produce antibodies in response to specific antigens, neutralizing or marking them for destruction by other elements of the immune system.

Lymphocytes

A type of white blood cell crucial for the body's immune response, involved in protecting the body against infections.

Antibody-Mediated Immunity

A type of immune response where B cells produce antibodies that target and neutralize foreign pathogens, such as viruses and bacteria.