Derive the general solution of the following differential equations: i) dy -x+y = f(x) dx ii)...
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Derive the general solution of the following differential equations: i) dy -x+y = f(x) dx ii) (x-1)dy dx - and specialize your result for the case f(x)=1. Hint: Verify that y=e* is a solution of the homogeneous equation. (cos²x)-2y = f(x) and specialize your result for the case f(x) = cosx. Hint: Verify that y = tanx is a solution of the homogeneous equation. Derive the general solution of the following differential equations: i) dy -x+y = f(x) dx ii) (x-1)dy dx - and specialize your result for the case f(x)=1. Hint: Verify that y=e* is a solution of the homogeneous equation. (cos²x)-2y = f(x) and specialize your result for the case f(x) = cosx. Hint: Verify that y = tanx is a solution of the homogeneous equation.
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4 i x1 d x day y fex 4 ex is sol of Homogenuous Diff equation then let youv is al... View the full answer
Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
Posted Date:
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