Get questions and answers for Advanced Math

Advanced Math Archive: Questions from February 13, 2023

• a. dy/dx - y = e^-2x b. x^2y'+2xy = 1 c. ydx - 4(x+y^2)dy=0
  2 answers
• Solve for the initial value problem
  \( y^{\prime \prime}+y^{\prime}+4 y=0, \quad y(0)=1, \quad y^{\prime}(0)=-1 \)
  2 answers
• 
  

  
  Find \( f(a) \) if \( f(t)=t^{2}-2 t-2 \) \( \mathbf{F}(t+a)^{2}-2 t+a-2 \) H \( a^{2}-2 t-2 \) \( \mathbf{G}(t+a)^{2}-2(t+a)-2 \) \( \mathbf{J} a^{2}-2 a-2 \)
  2 answers
• Residuo: Su respuesta es incorrecta. vidir. (12x^(3)-8x^(2)+21x+22)-:(6x+5) respuesta debe incluir el cociente y el residuo
  2 answers
• 
  

  
  If \( \theta=\frac{\pi}{3} \), then \[ \cos \left(30^{\circ}\right)= \] \[ \sin \left(45^{\circ}\right)= \] \[ \cos \left(60^{\circ}\right)= \] \[ \sin \left(60^{\circ}\right)= \] \[ \cos \left(45^{\c
  2 answers
• 
  

  
  In each of Problems 1 through 8 , solve the given differential equation. 1. \( y^{\prime}=\frac{x^{2}}{y} \) 2. \( y^{\prime}+y 2 \sin x=0 \) 3. \( y^{\prime}=\cos ^{2}(x) \cos ^{2}(2 y) \) 4. \( x y^
  2 answers
• 
  

  

  
  \( \begin{array}{l}\lim _{x \rightarrow 1} f(x) \\ \lim _{x \rightarrow 3} f(x)\end{array} \) \( \begin{array}{l}\lim _{x \rightarrow-2} h(x) \\ \lim _{x \rightarrow 0} h(x)\end{array} \)
  2 answers

• 

  
  6. Solve the IVP: \( \left(e^{x}+y\right) d x+\left(2+x+y e^{y}\right) d y=0, y(0)=1 \).
  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
• Los parametros son a=2, b=4, c=3. Gracias.
  Resolver este problema de valor inicial usando el método de solución de ecuaciones homogéneas de primer orden, según discutido en clase. Escribir la respuesta en la forma \( y=f(x) \) completament
  2 answers
• Los parametros son a=2, b=4, c=3. Gracias.
  Resolver este problema de valor inicial usando el método de solución de Reducción a Separable Escribir la respuesta en la forma \( y=f(x) \) completamente simplificada. \[ \frac{d y}{d x}=-a+2 \sqr
  2 answers
• 
  

  
  Find the domain of \( f(x, y)=\tan \left(\frac{y}{x}\right) \)
  1 answer
• Obtain a family of solutions for #16.
  16. \( [x-y \ln (y)+y \ln (x)] d x+x[\ln (y)-\ln (x)] d y=0 \) 17. \( \left[x-y \tan ^{-1}\left(\frac{y}{x}\right)\right] d x+x \tan ^{-1}\left(\frac{y}{x}\right) d y=0 \)
  2 answers
• please help with 2,6,12
  1-14. Solve each of the following differential equations using the Laplace transform method. Determine both \( Y(s)=\mathcal{L}\{y(t)\} \) and the solution \( y(t) \). 1. \( y^{\prime}-4 y=0, \quad y(
  2 answers
• Solving Initial Value Problems
  16. \( y^{\prime}=-\frac{2 y}{x+1}+2 x, y(0)=2 \) \[ \begin{array}{l} \text { Hint. } y= \\ \frac{3 x^{4}+8 x^{3}+6 x^{2}+12}{6(x+1)^{2}} \end{array} \]
  2 answers