Differential equations
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1) consider the equation (non-homogenous):
<i> Please see attachment for equation. </i>
? find its general solution
? find the particular solution of this equation, satisfying the initial condition
y(0)=0, y'(0)=0, y''(0)=0
2) find the general solution of the differential equation (non-homogeneous)
<i> Please see attachment for equation. </i>
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Solution Summary
This shows how to find general and particular solutions of differential equations.
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see attached file
1) consider the equation (non-honogenous):
----- (1)
• find its general solution
• find the particular solution of this equation, satisfying the initial condition
y(0)=0, y'(0)=0, y''(0)=0
aux. Equation is : m^3 - 4m^2 + 3m = 0
m*[m^2 - 4m +3 ] = 0
m*(m-1)*(m-3) = 0
Roots are m1 = 0, m2 = 1, and m3 = 3
Gen. Soln is: yg (x) = C1 + ...
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