Advanced Math Archive: Questions from August 12, 2022
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Evaluate \[ \frac{2^{3}}{1-5^{4}} \cdot\left(1+(-1)^{27}\right)-(-3)^{4} \cdot\left(-\frac{1}{3}\right)^{3} \]1 answer -
Solve differential equations.
\( x d y / d x+2 y=x^{3}-2 x^{2}+5 x \) \( d y / d x-2 x y=x \) \( d^{2} y / d x^{2}+8 d y / d x+16 y=0 \)1 answer -
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(1 point) Solve the initial value problem \[ y^{\prime \prime}+1 x y^{\prime}-4 y=0, y(0)=9, y^{\prime}(0)=0 \] \( y= \)3 answers -
Columna A Columna B 1. \( x y^{\prime}=2 y \) a) \( y=0 \) 2. \( y^{\prime}=2 \) b) \( y=2 \) 3. \( y^{\prime}=2 y-4 \) c) \( y=2 x \) 4. \( x y^{\prime}=y \) d) \( y=2 x^{2} \) 5. \( y^{\prime \prime1 answer -
SOLVE ALL
6) Solve the IVP \( y^{\prime \prime}+9 y=t \mathcal{U}_{2}(t), \quad y(0)=0, \quad y^{\prime}(0)=0 \)1 answer -
SOLVE ALL
7) Solve the following IVP: \( 16 x-9 x^{2} y^{2}+\left(e^{-y}-6 x^{3} y\right) y^{\prime}=0, \quad y(1)=0 \)1 answer -
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6) Solve the IVP \( y^{\prime \prime}+9 y=t \mathcal{U}_{2}(t), \quad y(0)=0, \quad y^{\prime}(0)=0 \)1 answer -
1 answer