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Graduate Can Variable Coefficients in an ODE Be Simplified for Easier Solution?
thanks for the reply... for the homogeneous equation: y''(x) - A*y'(x) - B*exp(-C*A*x)*y(x) = 0 if the substitution z =exp(-C*A*x) is used,it becomes something like the following one( if i am not wrong): z*y''(z) + (1 + 1/C)*y'(z) - B/(C*A)^2*y(z) = 0 which has a solution containing bessel...- iwasthere
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- Forum: Differential Equations
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Graduate Can Variable Coefficients in an ODE Be Simplified for Easier Solution?
i want to solve the following differential equation: y''(x) - A*y'(x) - B*exp(-C*A*x)*y(x) = M*exp(-N*x) A,B,C,M,N are constants. -is there any solution of the above equation (except series solution)? -is there any proper substitution that can turn the variable coefficient into constant...- iwasthere
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- Coefficient Ode Variable
- Replies: 3
- Forum: Differential Equations