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Popular Examples
25x^{''}+50x^'+169x=0,x(0)=3,x^'(0)=14
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25x^{\prime\:\prime\:}+50x^{\prime\:}+169x=0,x(0)=3,x^{\prime\:}(0)=14
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y^{''}-8y^'+16y=0,y(0)=4,y^'(0)=6
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y^{\prime\:\prime\:}-8y^{\prime\:}+16y=0,y(0)=4,y^{\prime\:}(0)=6
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y^{''}+128y=0
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y^{\prime\:\prime\:}+128y=0
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x^{''}=r^2x
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x^{\prime\:\prime\:}=r^{2}x
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y^{''}-8y^'+16y=0,y(0)=4,y^'(0)=7
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y^{\prime\:\prime\:}-8y^{\prime\:}+16y=0,y(0)=4,y^{\prime\:}(0)=7
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Frequently Asked Questions (FAQ)
What is the solution for (d^2y)/(dx^2)+2(dy)/(dx)+37y=0 ?
- The solution for (d^2y)/(dx^2)+2(dy)/(dx)+37y=0 is y=e^{-x}(c_{1}cos(6x)+c_{2}sin(6x))