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Advanced Math Archive: Questions from September 27, 2022

Translation: 54. Classify the following polygons according to two criteria

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financial math
Se tienen las siguientes obligaciones: a. 511,915 a 11 meses y $ 20 \% $ de interes simple b. $ \$ 19,567 $ a 2 ato(s) a $ 22 \% $ capitalizable cada cuatrimestre Calcula el tiempo equivaleate u

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$(3) Are the following problems linear or non-linear in y: \[ y^{\prime \prime}+\sin (t) y^{\prime}+t^{2} y=2, y(0)=0, y^{\pri$

(3) Are the following problems linear or non-linear in y: \[ y^{\prime \prime}+\sin (t) y^{\prime}+t^{2} y=2, y(0)=0, y^{\prime}(0)=0 \] \[ y^{\prime \prime}+\sin (y) y^{\prime}=2, y(0)=0, y^{\prime}(

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$variation of parameters technique (25) $ y^{\prime \prime}-y=x+3 $ Altempt all (26) $ y^{\prime \prime}-2 y^{\prime}+y=e^{$

variation of parameters technique (25) \( y^{\prime \prime}-y=x+3 $ Altempt all (26) $ y^{\prime \prime}-2 y^{\prime}+y=e^{x} $ 3 problems (27) $ x^{\prime \prime}+x=\tan ^{2} t $

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find the initial value
2. $ y^{\prime \prime}-4 y=e^{x}, y(0)=y^{\prime}(0)=0 $

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$\[ \begin{aligned} \text { Let } U &=\{q, r, s, t, u, v, w, x, y, z\} \\ A &=\{q, s, u, w, y\} \\ B &=\{q, s, y, z\} \\ C &=\$

\[ \begin{aligned} \text { Let } U &=\{q, r, s, t, u, v, w, x, y, z\} \\ A &=\{q, s, u, w, y\} \\ B &=\{q, s, y, z\} \\ C &=\{v, w, x, y, z\} \end{aligned} \] List the elements in the set. \[ A^{\prim

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solve this equations
C) $ \quad\left(d^{3} y / d x^{3}\right)+2\left(d^{2} y / d x^{2}\right)-3(d y / d x)=0 $ D) $ \left(d^{5} y / d x^{5}\right)-2\left(d^{4} y / d x^{4}\right)+\left(d^{3} y / d x^{3}\right)=0 $ E)

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$1. (6 pts) Solve the following ODEs. a) (1 pt) $ y^{\prime \prime}-7 y^{\prime}+10 y=e^{t} $; b) $ (1 \mathrm{pt}) y^{\pri$

1. (6 pts) Solve the following ODEs. a) (1 pt) \( y^{\prime \prime}-7 y^{\prime}+10 y=e^{t} $; b) $ (1 \mathrm{pt}) y^{\prime \prime}=y+e^{2 t} \cos t $ c) \( (2 \mathrm{pts}) y^{\prime \prime}-2 y

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$48. $ y=\frac{\sin m x}{x} $ 49. $ y=\ln (\cosh 3 x) $ 50. $ y=\ln \left|\frac{x^{2}-4}{2 x+5}\right| $ 51. $ y=\cosh$

48. \( y=\frac{\sin m x}{x} $ 49. $ y=\ln (\cosh 3 x) $ 50. $ y=\ln \left|\frac{x^{2}-4}{2 x+5}\right| $ 51. $ y=\cosh ^{-1}(\sinh x) $ 52. $ y=x \tanh ^{-1} \sqrt{x} $ 53. \( y=\cos \left(e^

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its in spanish, need help asap pls Problemas Mediante las ideas propuestas en el ejemplo anterior resolver el siguiente problema. Supongamos que la temperatura de una hoja de metal en cada punto vie

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$x-y+z-w=2 \) $ y+2 z+w=4 $ $ -z+w=2 $ $ -x+2 y-3 z+5 w=2 $ $ x= $ ,$ y= $ $ y= $ $ w=$

\( x-y+z-w=2 $ $ y+2 z+w=4 $ $ -z+w=2 $ $ -x+2 y-3 z+5 w=2 $ $ x= $ ,$ y= $ $ y= $ $ w= $

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calculate y' (ODE)
\[ y=\ln \sin x-\frac{1}{2} \sin ^{2} x \] $ y=e^{m x} \cos n x $ $ y=\ln \sec x $

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$Let $ U=\{q, r, s, t, u, v, w, x, y, z\} $ $ A=\{q, s, u, w, y\} $ $ B=\{q, s, y, z\} $ $ \mathrm{C}=\{\mathrm{v}, \ma$

Let \( U=\{q, r, s, t, u, v, w, x, y, z\} $ $ A=\{q, s, u, w, y\} $ $ B=\{q, s, y, z\} $ $ \mathrm{C}=\{\mathrm{v}, \mathrm{w}, \mathrm{x}, \mathrm{y}, \mathrm{z}\} $. List the elements in the

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$4. Resolver la ecuación diferencial lineal de primer orden. \[ x y^{\prime}+(1+x) y=e^{-x} \operatorname{sen} 2 x \]$

4. Resolver la ecuación diferencial lineal de primer orden. \[ x y^{\prime}+(1+x) y=e^{-x} \operatorname{sen} 2 x \]

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Differential equation
Solve \[ y^{\prime}-(\tan x) y=\cos x \]

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$The general solution of $ y^{\prime \prime}-2 y^{\prime}+y=2 e^{3 x}-8 e^{-3 x} $ is: (a) $ y=C_{1} e^{x}+C_{2} x e^{x}+\s$

The general solution of \( y^{\prime \prime}-2 y^{\prime}+y=2 e^{3 x}-8 e^{-3 x} $ is: (a) $ y=C_{1} e^{x}+C_{2} x e^{x}+\sinh 3 x $ (b) $ y=C_{1} e^{x}+C_{2} x e^{x}+2 e^{3 x}-2 e^{-3 x} $ (c) \

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$The general solution of $ y^{\prime \prime}+6 y^{\prime}+9 y=\frac{2 e^{-3 x}}{x^{2}} $ is: (a) $ y=C_{1} e^{3 x}+C_{2} x$

The general solution of \( y^{\prime \prime}+6 y^{\prime}+9 y=\frac{2 e^{-3 x}}{x^{2}} $ is: (a) $ y=C_{1} e^{3 x}+C_{2} x e^{3 x}-2 x e^{3 x} \ln x $ (b) \( y=C_{1} e^{-3 x}+C_{2} x e^{-3 x}-e^{-3

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$a) SOLVE $ \star: y^{\prime}=y^{2} x^{2} \sin x $$

a) SOLVE $ \star: y^{\prime}=y^{2} x^{2} \sin x $

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$b) SOLVE the IVP: $ y^{\prime}+\frac{3}{x} y=\sin x, y(\pi)=1 $$

b) SOLVE the IVP: $ y^{\prime}+\frac{3}{x} y=\sin x, y(\pi)=1 $

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Advanced Math Archive: Questions from September 27, 2022

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