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(Solved): Find a general solution of the differential equation y''-2y'-3y=3x^2-5 Find a general solution of t ...



Find a general solution of the differential equation y''-2y'-3y=3x^2-5

Find a general solution of the differential equation x''-3x'+2x=e^t sint

Find the solution of the initial value problem y''+y'-12y=e^2t, y(0)=1, y'(0)=3

Find the solution of the initial value problem y''-y'-2y=cosx, y(0)=0, y'(0)=-1

3. Find a general solution of the differential equation \( y^{\prime \prime}-2 y^{\prime}-3 y=3 x^{2}-5 \)
4. Find a general

3. Find a general solution of the differential equation 4. Find a general solution of the differential equation 5. Find the solution of the initial value problem 6. Find the solution of the initial value problem


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SOLUTION: 3) The characteristic equation of the given differential equation is:r2?2r?3=0(r?3)(r+1)=0 Therefore, the roots are r=3andr=?1. The general
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