Advanced Math Archive: Questions from August 03, 2022
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(1 point) Find \( y \) as a function of \( t \) if \[ 16 y^{\prime \prime}+56 y^{\prime}+49 y=0 \] \( y(0)=7, \quad y^{\prime}(0)=9 . \) \( y= \)1 answer -
(1 point) Find \( y \) as a function of \( x \) if \[ y^{\prime \prime \prime}-11 y^{\prime \prime}+30 y^{\prime}=0 \] \[ y(0)=1, y^{\prime}(0)=1, \quad y^{\prime \prime}(0)=1 \text {. } \] \[ y(x)= \1 answer -
1 answer
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An equation for the graph shown is a) \( y=x^{2}(x-3)^{3} \) b) \( y=x(x-3)^{3} \) c) \( y=x^{2}(x-3) \) d) \( y=x(x-3) \)1 answer -
1 answer
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SOLVE ALL
Problem 5 (18 points). Solve the following IVP: \( y^{\prime \prime}-2 y^{\prime}+y=3 t+e^{t}, \quad y(0)=1, \quad y^{\prime}(0)=1 \)1 answer -
Problem 5 (18 points). Solve the following IVP: \( y^{\prime \prime}-2 y^{\prime}+y=3 t+e^{\prime}, \quad y(0)=1, \quad y^{\prime}(0)=1 \).1 answer -
Problem 5 (18 points). Solve the following IVP: \( y^{\prime \prime}-2 y^{\prime}+y=3 t+e^{t}, \quad y(0)=1, \quad y^{\prime}(0)=1 \).1 answer -
1 answer
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1 answer
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#3: Solve the IVP. \( \quad y^{\prime \prime}-4 y^{\prime}+4 y=t e^{2 t}, \quad y(0)=2, \quad y^{\prime}(0)=1 \)1 answer