Find the Solution of the Initial-Value Problem $\frac { d y } { d t } = 2 t \sqrt { 1 - y }$

question 5

Multiple Choice

Find the solution of the initial-value problem $\frac { d y } { d t } = 2 t \sqrt { 1 - y }$ , $y ( 1 ) = 0$ .

• A) \(2 \sqrt { y - 1 } = 3 - t ^ { 2 }\)
• B) \(\frac { 2 } { \sqrt { y - 1 } } = 3 - t ^ { 2 }\)
• C) \(2 \sqrt { 1 - y } = 3 + t ^ { 2 }\)
• D) \(\frac { 2 } { \sqrt { 1 - y } } = 3 + t ^ { 2 }\)
• E) \(2 \sqrt { 1 - y } = - 3 + t ^ { 2 }\)
• F) \(\frac { 2 } { \sqrt { 1 - y } } = - 3 + t ^ { 2 }\)
• G) \(2 \sqrt { 1 - y } = 3 - t ^ { 2 }\)
• H) \(\frac { 2 } { \sqrt { 1 - y } } = 3 - t ^ { 2 }\)

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