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Popular Examples
y^{''}+6y^'+18y=0,y(0)=0,y^'(0)=0
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y^{\prime\:\prime\:}+6y^{\prime\:}+18y=0,y(0)=0,y^{\prime\:}(0)=0
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y^{''}-2ky^'+ky(t)=0
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y^{\prime\:\prime\:}-2ky^{\prime\:}+ky(t)=0
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y^{'''}-2y^'-13y^'-10y^'=0
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y^{\prime\:\prime\:\prime\:}-2y^{\prime\:}-13y^{\prime\:}-10y^{\prime\:}=0
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y^{''}+2y^'+y=0,y^'(0)=5
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y^{\prime\:\prime\:}+2y^{\prime\:}+y=0,y^{\prime\:}(0)=5
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16y^{''}-8y^'+y=0,y(0)=40,y^'(0)=-10
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16y^{\prime\:\prime\:}-8y^{\prime\:}+y=0,y(0)=40,y^{\prime\:}(0)=-10
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Frequently Asked Questions (FAQ)
What is the solution for (y^{''}+y)^2=0 ?
- The solution for (y^{''}+y)^2=0 is y=c_{1}cos(t)+c_{2}sin(t)