Advanced Math Archive: Questions from February 26, 2023
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HW. Find Covrerponding ODE. 1. \( y=C_{1} \cos x+C_{2} \sin x \) 2. \( y=3 e^{-x} \) 3. \( y=c e^{-2 x}+C_{2} \).2 answers -
HW. Find Covrerponding ODE. 1. \( y=C_{1} \cos x+C_{2} \sin x \) 2. \( y=3 e^{-x} \) 3. \( y=c e^{-2 x}+C_{2} \).2 answers -
HW. Find Covrerponding ODE. 1. \( y=C_{1} \cos x+C_{2} \sin x \) 2. \( y=3 e^{-x} \) 3. \( y=c e^{-2 x}+C_{2} \).2 answers -
5. \( y^{\prime \prime}+5 y^{\prime}+6 y=3 \delta(t-2)-4 \delta(t-5) ; y(0)=y^{\prime}(0)=0 \) 6. \( y^{\prime \prime}-4 y^{\prime}+13 y=4 \delta(t-3) ; y(0)=y^{\prime}(0)=0 \) 7. \( y^{\prime \prime}2 answers -
2 answers
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#9
In Problems 1-18 solve each differential equation by variation o parameters. 1. \( y^{\prime \prime}+y=\sec x \) 2. \( y^{\prime \prime}+y=\tan x \) 3. \( y^{\prime \prime}+y=\sin x \) 4. \( y^{\prime2 answers -
The system shown in the figure has two inputs, the reference and the disturbance, and one output. L Find the transfer matrix between the output and the inputs. If possible, add code of how it would be
B-9-6. El sistema que aparece en la figura 9-15 liene dos entradas, la de referencia y la de perturbación, y una salida, Encuentre la matriz de transferencia entre la salida y las entradas. Figura 9-0 answers -
7. Consideremos en \( L^{2}([a, b] \times[a, b]) \) la aplicación \[ \|f\|:=\sqrt{\int_{a}^{b} \int_{a}^{b}|f(t, s)|^{2} d t d s} \] Mostrar que \( \left(L^{2}([a, b] \times[a, b]),\|\cdot\|\right) \2 answers -
\( \begin{array}{l}\mathcal{C}^{1}([0,1]):=\left\{f \in \mathcal{C}([0,1]): \exists f^{\prime} \in \mathcal{C}([0,1])\right\} . \text { Mostrar que la siguiente función sobre } \mathcal{C}^{1} \\ \qq2 answers -
discrete mathematics
2. Solve the Initial Value Problems. a) \( y^{\prime \prime}-y^{\prime}-6 y=0, \quad y(0)=0, y^{\prime}(0)=1 \). b) \( y^{\prime \prime}-4 y=0, \quad y(0)=1, y^{\prime}(0)=2 \).2 answers -
2 answers
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Solve the differential eq
Solve \[ \cos ^{2}(x) \sin (x) \frac{d y}{d x}+\left(\cos ^{3}(x)\right) y=1 \]2 answers -
Solve the differential eq
Solve \[ \cos ^{2}(x) \sin (x) \frac{d y}{d x}+\left(\cos ^{3}(x)\right) y=1 \]2 answers -
2 answers
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Find and sketch the domain of the function. (a) \( f(x, y)=\sqrt[4]{x-3 y} \) (b) \( g(x, y)=\frac{\ln (2-x)}{1-x^{2}-y^{2}} \) (c) \( f(x, y)=\sin ^{-1}(x+y) \) (d) \( f(x, y, z)=\ln \left(16-4 x^{2}2 answers -
2 answers
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\( \begin{array}{l}c=48 x+10 y+48 z s \\ 3 x+z \geq 8 \\ 3 x+y-z \geq 7 \\ 4 x+y-z \leq 9 \\ x \geq 0, y \geq 0, z \geq 0 \text {. } \\\end{array} \)2 answers