Advanced Math Archive: Questions from March 22, 2023
-
\( \begin{array}{l}\ln \left(x^{2}+2\right)=2.6 \\ x^{2}+4 r=e^{2} \\ x^{2}+v=e^{\frac{3}{5}} \\\end{array} \)2 answers -
5. Find the solution of the given IVP y (4) + 2y ′′ + y = 3 sin t − 5 cost, y(0) = y ′ (0) = 0, y′′(0) = y ′′′(0) = 1
5. Find the solution of the given IVP \[ y^{(4)}+2 y^{\prime \prime}+y=3 \sin t-5 \cos t, y(0)=y^{\prime}(0)=0, y^{\prime \prime}(0)=y^{\prime \prime \prime}(0)=1 \]2 answers -
2 answers
-
2 answers
-
2 answers
-
show all steps and box answer please! ANNIHILATOR SYSTEM DEs ANNIHILATOR SYSTEM DEs
\[ \left\{\begin{aligned} D x+z & =e^{2 t} \\ D x+D y+y & =3 z \\ D z+3 D y & =e^{2 t} \end{aligned}\right. \] (8) \( \left\{\begin{array}{l}x^{\prime}=z-y \\ y^{\prime}=x-z \\ z^{\prime}=y+x\end{arra2 answers -
5) Selve the initiel value preblent: a) \( x \sin y d x+\left(x^{2}+1\right) \cos y d y=0 \quad, y(1)=\pi / 2 \) b) \( y^{\prime}=y-y^{2} \quad y(-1)=2 \)2 answers -
Use trigonometric functions in an appropriate radio circle to evaluate the following expression.
4. Use "unciones trigonométricas en un círculo de radio apropiado para evaluar las siguientes expresiones. (a) \( \operatorname{sen}\left(\tan ^{-1}(2)\right) \) (b) \( \csc \left(\cos ^{-1}\left(-\2 answers -
2 answers
-
please show all work and circle final answer! do #1
In Exercises 1-6 use variation of parameters to find a particular solution. 1. \( y^{\prime \prime}+9 y=\tan 3 x \) 2. \( y^{\prime \prime}+4 y=\sin 2 x \sec ^{2} 2 x \) 3. \( y^{\prime \prime}-3 y^{\2 answers -
(1 point) Find \( y \) as a function of \( x \) if \[ y^{\prime \prime \prime}-11 y^{\prime \prime}+30 y^{\prime}=100 e^{x} \] \[ y(0)=26, \quad y^{\prime}(0)=22, \quad y^{\prime \prime}(0)=15 \]2 answers -
In each of the following, solve the given differential equation. 57. \( y^{\prime}+y=\frac{1}{y^{2}} \) 58. \( y^{\prime}+y=y^{2} \) 59. \( d y+y d x=y^{2} e^{x} d x \) 60. \( \frac{d y}{d x}-y=x y^{52 answers -
1. \( f(x, y)=y^{2}+1 \) 2. \( f(x, y)=1+2 x^{2}+2 y^{2} \) 3. \( f(x, y)=\sqrt{4-4 x^{2}-y^{2}} \) 4. \( f(x, y)=1+y \)2 answers -
1 answer
-
Find \( \mathcal{L}\left\{\sin ^{2}(7 t)\right\} \) \[ \begin{array}{l} 0 \frac{1}{2 s}-\frac{8}{2 s^{2}+392} \\ 0 \frac{1}{2 s}-\frac{7}{2 s^{2}+392} \\ 0 \frac{49}{\left(s^{2}+49\right)^{2}} \\ 0 \f4 answers -
2 answers
-
tranformada de laplace
Exprese las funciones en la figura en términos de las funciones escalonadas y/o funciones delta, y determine su. transformada de Laplace.2 answers -
Resolver 2,3 y 4 Trasformadas de Laplace
Tesolverusivis. unuza ta teoria de la transformada de Laplace para resolver las siguientes ecuaciones diferenciales. 1. \( \frac{d y}{d t}-y=1, y(0)=0 \) 2. \( 2 \frac{d y}{d t}+y=0, y(0)=-3 \) 3. \(2 answers -
2 answers
-
(1 point) (1 point) Los polinomios de Taylor de la funcion \( f(x)=\frac{16 x+23}{3+x^{2}} \) de grado dos y tres alrededor de cero son \[ \begin{array}{l} p_{2}(x)=7.66667+5.33333 x+(-2.55556) x^{2}2 answers -
2 answers
-
Evaluate the double integral. \[ \iint_{D} x d A, D=\{(x, y) \mid 0 \leq x \leq \pi, 0 \leq y \leq \sin x\} \]2 answers -
2 answers
-
(1 point) (1 point) Los polinomios de Taylor de la funcion \( f(x)=\frac{x+3}{5+2 x^{2}} \) de grado dos \( y \) tres alrededor de cero son \( p_{2}(x)=0.6+0.2 x+(-0.24) x^{2} \) y \( p_{3}(x)=0.6+0.22 answers -
A rich man has a fortune x(t) that grows at a rate proportional to the square of its value at each instant, that is, dx(t)/dt = kx2(t), where k is a constant. If you had 10 million dollars a year ago
8. Un magnate posee una fortuna \( x(t) \) que crece a un ritmo proporcional al cuadrado de su valor en cada instante, es decir \( \frac{d x(t)}{d t}=k x^{2}(t) \), donde \( k \) es una constante. Si2 answers -
Considera la función \( f(x)=-5 \cos (-9 x) \). Encuentra el polinomio \( p(x) \) de interpolación de Lagrange que pasa por los puntos \( (-3 \), \( f(-3)) \), \( (-2, f(-2)),(2, f(2)),(3, f(3)) \).2 answers