Higher order differential equation has the general solution of .
Given higher order differential equation .
We are required to find the general solution of the given higher order differential equation.
A differential equation is basically an equation which contains one or more terms and the derivatives of one variable with respect to the other variable dy/dx = f(x) Here “x” is basically an independent variable and “y” is dependent variable.
Higher order differential equation
Write the derivatives of y in powers of m.
m[]=0
m[]=0
m[m(m-4)+1(m-4)]=0
m(m-4)(m+1)=0
m=0,m=4,m=-1
Using the values of m in y=.
y=
Hence the general solution of the higher order differential equation is .
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