Use a Computer Algebra System (CAS) to Solve the Given $$y ^ { \prime } = 10 x ^ { 2 } \sin x , y ( 0 ) = 1$$

question 117

Multiple Choice

Use a computer algebra system (CAS) to solve the given initial value problem.
- $$y ^ { \prime } = 10 x ^ { 2 } \sin x , y ( 0 ) = 1$$

• A) \(y = - 10 x \cos x + 10 \sin x + 1\)
• B) \(y = - 10 \cos x ^ { 2 } + 11\)
• C) \(y = - 10 \left( x ^ { 2 } - 2 \right) \cos x + 20 x \sin x - 19\)
• D) \(y = - 10 x \sin x \cos x + 10 \sin ^ { 2 } x + 10 x ^ { 2 } + 1\)

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Definitions:

Inconsistent

A term used to describe a system of equations that has no solution because the equations represent parallel lines.

Elimination

A method for solving a system of equations by adding or subtracting the equations in order to eliminate one of the variables.

Positive Integers

Whole numbers greater than zero.

Difference

The difference obtained when one number is subtracted from another.