Solve the Differential Equation with the Given Initial Condition $y ^ { \prime } = t y , y ( 0 ) = - 1$

question 72

Multiple Choice

Solve the differential equation with the given initial condition.
- $y ^ { \prime } = t y , y ( 0 ) = - 1$

• A) y = \(e ^ { t + 1 }\)
• B) y = - \(\mathrm { e } t^ { 2 } / 2\)
• C) y = \(\frac { t ^ { 2 } } { 2 }\)
• D) y = -1 + \(\mathrm { e } t^ { 2 } / 2\)

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