Advanced Math Archive: Questions from September 28, 2022
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(1 point) Solve the initial value problem \[ \frac{d y}{d t}-y=3 e^{t}+64 e^{9 t} \] with \( y(0)=10 \). \[ y= \]2 answers -
2 answers
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PROBLEM 2: Solve: \[ \left(D^{4}+4 I\right) y=0, \quad y(0)=\frac{1}{2}, y^{\prime}(0)=-\frac{3}{2}, y^{\prime \prime}(0)=\frac{5}{2}, y^{\prime \prime \prime}(0)=-\frac{7}{2} \]1 answer -
2 answers
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uelva \( y^{\prime \prime}-2 y^{\prime}+y=\frac{e^{x}}{1+x^{2}} \) \( y=c_{1} e^{x}+c_{2} x e^{x}-\frac{1}{2} \ln \left(1+x^{2}\right)+\arctan x \) \( y=c_{1} e^{x}+c_{2} x e^{x}-e^{x} \ln \left(1+x^{2 answers -
1 answer
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Problem 3 (25 points) Consider the IVP \[ y^{\prime}=-y+4 y^{2}=f(y), \quad y(0)=y_{0} \quad-\infty1 answer -
Solve the following equations for \( y \). (a) \( y^{\prime}+y \tan x=\sec x \) (b) \( 2 y \frac{d y}{d x}-x=x y^{2} \), where \( y(0)=-2 \) (c) \( x^{2} y^{\prime}+1=y^{2} \)2 answers -
THIS IS FOR A MATLAB CODE! Please look at picture for the equation part below TRANSLATION: 1. Create a program in an editor screen to solve the mathematical series that approximates the value of
1. Cree un programa en una pantalla editor para solucionar la serie matemáticas que aproxima el valor de sen(x) usando la serie de Taylor, iterando mientras el error sea mayor de una tolerancia estab2 answers -
'he general solution of \( y^{\prime \prime}+2 y^{\prime}+y=2 \sin 2 x+\frac{3 e^{-x}}{x^{2}} \) is: (a) \( y=C_{1} e^{-x}+C_{2} x e^{-x}+\frac{6}{25} \cos 2 x+\frac{8}{25} \sin 2 x+x e^{-x} \ln x \)2 answers -
the last 3 questions
3. Solve the following given initial-value problems: - \( y^{\prime \prime}+y^{\prime}-2 y=0, y(0)=1, y^{\prime}(0)=1 \). - \( 4 y^{\prime \prime} y=0, y(-2)=1, y^{\prime}(-2)=-1 \). - \( 3 y^{\prime2 answers -
only 2,3 please
Problem 6 Find all solutions: \[ \begin{array}{l} x y^{\prime}+y^{2}+y=0 \\ y^{\prime}=e^{x+y} \\ y^{\prime}=\frac{4 x y}{x^{2}+1} \end{array} \]1 answer -
3. Determine \( \left(T_{3} \circ T_{2} \circ T_{1}\right)(x, y) \) if \[ T_{1}(x, y)=(-2 y, 3 x, x-2 y), T_{2}(x, y, z)=(y, z, x), T_{3}(x, y, z)=(x+z, y-z) \]2 answers -
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\( \left(D^{3}-D^{2}-D+I\right) y=0 \) PROBLEM 2: Solve: \[ \left(D^{4}+4 I\right) y=0, \quad y(0)=\frac{1}{2}, y^{\prime}(0)=-\frac{3}{2}, y^{\prime \prime}(0)=\frac{5}{2}, y^{\prime \prime \prime}(2 answers -
PROBLEM 2: \( \quad \) Solve: \[ \left(D^{4}+4 I\right) y=0, \quad y(0)=\frac{1}{2}, y^{\prime}(0)=-\frac{3}{2}, y^{\prime \prime}(0)=\frac{5}{2}, y^{\prime \prime \prime}(0)=-\frac{7}{2} \]2 answers -
2 answers
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i need all the answer , number 11,12,13 and 23 i need the anawer for all of the questions
11. Determine cuales de las siguiente funciones de \( \{a, b, c \), d \( \} \) en \( \{a, b, c \), d \( \} \) son Sobreyectivas? 2. \( f(a)=b, \quad f(b)=a, \quad f(c)=c, \quad g(d)=d \) b. \( f(2)=b,2 answers