Other Math Archive: Questions from August 25, 2022
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Problem: Solve by the method of separation of variables to find a member of the family of curves that passes through the point (2,1)
Problema: Resuelva por el método de separación de variables para hallar un miembro de la familia de curvas que pasa por el punto \( (2,1) \) \[ \frac{d y}{d x}=-\frac{3 x+x y^{2}}{2 y+x^{2} y} \]1 answer -
In the following augmented matrices x is a real parameter and they are obtained in the process of verifying if a vector b is a linear combination of vectors a 1 , a two Y a 3 . a ) [ 1 3 −3 2 0 3 4
En las matrices aumentadas siguientes \( x \) es un parámetro real y ellas son obtenidas en el proceso de verificar si un vector \( \mathbf{b} \) es combinación lineal de vectores \( \mathbf{a}_{1},1 answer -
Yes a = [ 1 1 3 ] , b = [ −1 0 0 ] , c = [ −2 1 4 ] , d = [ 4 1 3 ] In the determination the coefficients c1, c2 and c3 such that a ) c 1 c + c two a + c 3 d = b b ) c 1 a + c two b + c 3 d = 0 c
Si \( \mathbf{a}=\left[\begin{array}{l}1 \\ 1 \\ 3\end{array}\right], \mathbf{b}=\left[\begin{array}{r}-1 \\ 0 \\ 0\end{array}\right], \mathbf{c}=\left[\begin{array}{r}-2 \\ 1 \\ 4\end{array}\right],1 answer -
Yes Y = c 1 and 3 x + c two and 6 x + c 3 and 9 x determine the values of the constants c 1 , c two Y c 3 for it to be fulfilled: a ) Y ( x = 0 ) = 1 , Y ′ ( x = 0 ) = 0 Y Y ″ ( x = 0 ) = 0 b ) Y
Si \( y=c_{1} e^{3 x}+c_{2} e^{6 x}+c_{3} e^{9 x} \) determine los valores de las constantes \( c_{1}, c_{2} \) y \( c_{3} \) para que se cumpla: a) \( y(x=0)=1, \quad y^{\prime}(x=0)=0 \quad \) y \(2 answers -
Yes a = [ 5 1 ] , b = [ 1 4 ] , c = [ 15 3 ] , d = [ 8 13 ] Classify each of the following generated spaces: a ) gene { b } b ) gene { a , c } c ) gene { a , c , d } d ) gene { a } and ) gene { a , b
Si \( \mathbf{a}=\left[\begin{array}{l}5 \\ 1\end{array}\right], \mathbf{b}=\left[\begin{array}{l}1 \\ 4\end{array}\right], \mathbf{c}=\left[\begin{array}{r}15 \\ 3\end{array}\right], \mathbf{d}=\left1 answer