Other Math Archive: Questions from June 19, 2023
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olve the IVP. \( \quad y^{\prime}=9(y-4) ; \quad y(0)=12 \). \[ \begin{array}{l} y=8 e^{9 x}+4 \\ y=8 e^{9 x}-4 \\ y=8 e^{9 x} \\ y=16 e^{9 x}+4 \end{array} \] A Moving to another question will save t2 answers -
Sean \( X \) un espacio y \( A \) un subespacio de \( X \). Demostrar que \( A \) es disconexo si y sólo si existen \( H \) y \( K \) subconjuntos de \( X \) tales que \( A=H \cup K \), \( \mathrm{Cl2 answers -
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Use Laplace Transforms to solve the differential equation y^ prime prime + 16y = 12cos(4t) + 6sen(4t) subject to the initial conditions y(0) = 0, y' * (0) = 1 as follows: a) (8 points) Apply Laplace T
\[ v(0)=-12 \mathrm{~m} / \mathrm{s} \text {. } \] Nota: La ecuación diferencial correspondiente es: \( m y^{\prime \prime}+\beta y^{\prime}+k y=0 \) 2._Use Transformadas de Laplace para resolver la2 answers -
(14 points) In a series circuit LRC, subject to the initial condition overline i(0) = 0 satisfies the integro-differential equation: L * i' + Ri + i/c * integrate i(tau) dtau from 0 to t = E(t) Determ
condición inicial \( i(0)=0 \), se satisface la ecuación 3._(14 puntos) En un circuito en serie LRC, sujeta a la condición inicial \( i(0)=0 \) : integro-diferencial: \( L i^{t}+R i+\frac{1}{c} \in2 answers -
DIFFERENTIAL EQUATIONS. #17 please
Solving Initial Value Problems. Solve the initial value problems in Exercise Group 1.5.8.11-20. 11. \( \frac{d y}{d x}+5 y=0, y(0)=2 \) 12. \( x^{\prime}-7 x=0, x(0)=1 \) 13. \( y^{\prime}+2 x y=0, y(2 answers