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Popular Examples
y^{''}+13y^'=0,y(0)=-9,y^'(0)=13
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y^{\prime\:\prime\:}+13y^{\prime\:}=0,y(0)=-9,y^{\prime\:}(0)=13
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49y^{''}-168y^'+144y=0
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49y^{\prime\:\prime\:}-168y^{\prime\:}+144y=0
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(D^3-8)y=0
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(D^{3}-8)y=0
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5/8 x^{''}+40x=0,x(0)= 1/4 ,x^'(0)=0
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\frac{5}{8}x^{\prime\:\prime\:}+40x=0,x(0)=\frac{1}{4},x^{\prime\:}(0)=0
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y^{''}+6y^'+25y=0,y(0)=3,y^'(0)=-6
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y^{\prime\:\prime\:}+6y^{\prime\:}+25y=0,y(0)=3,y^{\prime\:}(0)=-6
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Frequently Asked Questions (FAQ)
What is the solution for y^{''}-by(t)=0 ?
- The solution for y^{''}-by(t)=0 is y=c_{1}e^{sqrt(b)t}+c_{2}e^{-sqrt(b)t}