Get questions and answers for Advanced Math

Advanced Math Archive: Questions from February 10, 2023

• 

  
  Solve the following linear IVP \[ \begin{aligned} y^{\prime}+3 x^{2} y & =x^{2} \\ y(0) & =4 \end{aligned} \]
  2 answers

• 

  
  1. (5 points) Solve the initial value problem \[ y^{\prime \prime}+y^{\prime}+4 y=0, \quad y(0)=1, \quad y^{\prime}(0)=-1 \]
  2 answers
• match
  1. \( L^{-1}\left\{\frac{120}{s^{6}}\right\}= \) \( e^{-6 t} \cos \sqrt{7} t \) 2. \( L^{-1}\left\{\frac{s}{s^{2}+7}\right\}= \) \( \sin \sqrt{5} t \) 3. \( L^{-1}\left\{\frac{s}{s^{2}-4}\right\}= \)
  2 answers
• inverse Laplace
  Hallar las siguientes transformadas de Laplace inversas: 1. \( L^{-1}\left\{\frac{1}{s^{4}}\right\} \) 2. \( L^{-1}\left\{\frac{1}{s^{2}}-\frac{48}{s^{5}}\right\} \)
  2 answers
• i just need 5
  Resuelva: \[ \begin{array}{l} 1 y^{\prime}+6 t=e^{4 t}, y(0)=2 \\ 2 y^{\prime \prime}+6 y^{\prime}+4 y=0, y(0)=1, y^{\prime}(0)=0 \\ 3 y^{\prime}+t=e^{5 t}, y(0)=1 \\ 4 y^{\prime \prime}-5 y^{\prime}+
  2 answers
• Incorrecta Su respuesta es incorrecta. Dar el grado del polinomio. 6y-2-u^(6)w^(5)-12w^(6)y^(6)u^(6)
  2 answers
• 
  

  
  \( \left[e^{x} \sin y-3 y\right] d x=\left[3 x-e^{x} \cos y\right] d y ; \quad y(0)=\frac{\pi}{2} \)
  2 answers
• Graficar la siguiente ecuacion dela conicoi x^(2)+2y^(2)-2x+8y+5=0
  2 answers
• 
  

  
  ( 1 point) Find \( y \) as a function of \( x \) if \[ y^{\prime \prime \prime}-9 y^{\prime \prime}-y^{\prime}+9 y=0 \] \[ y(0)=0, y^{\prime}(0)=0, \quad y^{\prime \prime}(0)=0 \]
  2 answers
• 
  

  
  1. Utilice la función \( T\left(v_{1}, v_{2}, v_{3}\right)=\left(4 v_{2}-v_{1}, 4 v_{1}+5 v_{2}\right) \) si \( v=(2,-3,-1) \), \( \mathrm{w}=(3,9) \) 2. Deja que \( T: R^{3} \rightarrow R^{2} \) sea
  0 answers

• 

  
  Let \( h \) be the composite function \[ h(x, y)=g(f(x, y)) \] where \[ g(t)=\frac{1}{t^{2}}+\sqrt{t} \text { and } f(x, y)=x+2 y-1 . \] Find the largest possible domain such that \( h \) is continuou
  2 answers
• 
  

  
  Solve the differential equation \[ \frac{d y}{d t}=\frac{3 y+2}{t} \] \[ \begin{array}{l} y=\frac{k t-2}{3} \\ y=\frac{k t^{\frac{1}{3}}+2}{3} \\ y=\frac{k t^{\frac{3}{3}}-2}{3} \\ y=\frac{k t^{3}-2}{
  2 answers
• L[y] = y'' − 5 x y' + 8 x 2 y. 1. Calculate L[x 2 − 2x 3 ]. (a) 2x (b) 4 (c) −4x ( d) 6x 2 (e) None of the above.
  2 answers
• 3. (40 points, Exact IVP DE) [e^x sin y- 3y ] dx = [3x - e^x cos y] dy; y(0)= pi/2
  3. (40 points, Exact IVP DE) \( \quad\left[e^{x} \sin y-3 y\right] d x=\left[3 x-e^{x} \cos y\right] d y ; \quad y(0)=\frac{\pi}{2} \)
  2 answers
• 2. (30 points, Linear IVP DE) (tan 2) y + y = sin 2; y(E) =1
  2. (30 points, Linear IVP DE) \[ (\tan x) y^{\prime}+y=\sin x ; \quad y\left(\frac{\pi}{2}\right)=1 \]
  2 answers
• 
  

  
  2. (30 points, Linear IVP DE) \[ (\tan x) y^{\prime}+y=\sin x ; \quad y\left(\frac{\pi}{2}\right)=1 \]
  1 answer

• 

  
  Solve \( y^{\prime}=4 x y-2 x, \quad y(0)=12 \) \[ y(x)=y=\frac{23}{2} e^{x^{2}}+\frac{1}{2} \]
  2 answers
• find general solution
  \( y^{\prime \prime}+4 y^{\prime}+4 y=4 e^{-2 x} \)
  2 answers