Recent content by Lee49645
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Laplace Transforms with IVP and linear first ODE
Homework Statement y'' + ty' - y = 0 plugging in the known Laplace formuals i get this... [s^2Y(s) - sy(0) - y'(0)] + [-sY'(s) - Y(s)] - Y(s) = 0 Homework Equations y(0) = 0 y'(0) = 3 The Attempt at a Solution simplying to a linear first order DE -sY'(s) + (s^2-2)Y(s) = 3...- Lee49645
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- Ivp Laplace Laplace transforms Linear Ode
- Replies: 1
- Forum: Calculus and Beyond Homework Help
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Finding Laplace Transforms Sin(bt)
wow you're right, after looking up the formula for integration by parts I forgot that there was also an integral on the LHS. though my answer doesn't match yours, I actually got the answer i needed. Instead of subtracting, I brought the matching integrals together on the LHS and factored...- Lee49645
- Post #10
- Forum: Calculus and Beyond Homework Help
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Finding Laplace Transforms Sin(bt)
Homework Statement Simply find L{Sin(bt)}Homework Equations My Professor gave us a hint "Use Integration by Parts TWICE" The Attempt at a Solution so i start with the usual limit as N -> infinity the integral of e^(-st)sin(bt)dt Integrating by parts i get ( u = sin(bt) du = bcos(bt) dv =...- Lee49645
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- Laplace Laplace transforms
- Replies: 10
- Forum: Calculus and Beyond Homework Help