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3. Solve the initial and boundary value problem aut, c) = a. cut,c), force (0,7), t > 0. u(t,0) = u(t, 7) = 0, (0, 2) = cos , 2 € (0,7).
Please include step-by-step solution. D19. Solve t2x" +3tx -3 x-t', t>0.
29.9) Compute the Fourier transform of the periodic function f(t) to prove the equation shown below: 29.9. Let f(t) = iftl > T. 0 Show that f(w) =
2. Solve the linear homogeneous IVP U+ rtuz = 0, u.1,0) = sinr, -o0<< 0, t> 0.
-). Solve the initial and boundary value problem: uUx=0, TE (0,), t > 0, U (0,t) = u(,t) = 0, >0, u(,0) - cos', 1€ (0,7).
differential equations Problem 2 Solve y"+y= ſt/2, if 0 <t<6, if t > 6 y(0) = 6, 7(0) = 8
Solve for Iz(t) in the circuit shown for t>O as the switch is closed for t>0. t=0 R3=2000 Rz=2000 Ix V. 24V R; 2009 R2 1000 30 mH
Let z=5 where x, y, z E R. Prove that z? +z2+z?>
Enthalpy of Formation Part 1: Part 2: Part 3: A scientist measures the standard enthalpy change for the following reaction to be 591.0 kJ : 2H2O(1)—>2H2(g) + O2(g) Based on this value and the standard enthalpies of formation for the other substances, the standard enthalpy of formation of H2O(l) is kJ/mol. A scientist measures the standard enthalpy change for the following reaction to be -2903.4 kJ: 2C2H6(g) + 7 O2(g)—>4CO2(g) + 6 H2O(g) Based on this value and the standard...
Solve the differential equation by variation of parameters. Y"' + 3y' + 2y = 6 > 9+ et