Advanced Math Archive: Questions from August 28, 2022
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1 answer
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PLEASE SOLVE WITH LA PLACE TRANSFORM
\( y^{\prime \prime}-5 y^{\prime}+6 y=2 e^{t}, \quad y(0)=0, \quad y^{\prime}(0)=1 \)1 answer -
State whether the following functions T: R2 --> R2 are linear transformations, justifying your answer.
1.1. \( T(x, y)=(1+x, y) \) 1.4. \( T(x, y)=(\operatorname{sen} x, y) \) 1.2. \( T(x, y)=(y, x) \) 1.5. \( T(x, y)=(x-y, 0) \) 1.3. \( T(x, y)=\left(x^{2}, y\right) \) 1.6. \( T(x, y)=(|x|, 0) \)1 answer