11 found Use Laplace transforms to find the value of x given that dx 4- +...

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11 found Use Laplace transforms to find the value of x given that dx 4- + 6x + y = 2 sin 2t dt d²x dt² and that x = 2 and dx/dt = -2 when t = 0. 3²0 dr² +x= di dt (a) Use Laplace transforms to solve the differential equation dy dt i₁ + = given that 0 = 0 and de/dt = 0 when t = 0. (b) Using Laplace transforms, solve the simultaneous differential equations 3e-2r de +8+160 = sin 2t dt + 2i₁ + 6i₂ = 0 diz dr given that i, = 1, i₂=0 when t = 0. - -3i₂ = 0 11 found Use Laplace transforms to find the value of x given that dx 4- + 6x + y = 2 sin 2t dt d²x dt² and that x = 2 and dx/dt = -2 when t = 0. 3²0 dr² +x= di dt (a) Use Laplace transforms to solve the differential equation dy dt i₁ + = given that 0 = 0 and de/dt = 0 when t = 0. (b) Using Laplace transforms, solve the simultaneous differential equations 3e-2r de +8+160 = sin 2t dt + 2i₁ + 6i₂ = 0 diz dr given that i, = 1, i₂=0 when t = 0. - -3i₂ = 0