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Popular Examples
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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y^{''}+6y^'+25y=0,y(0)=0,y^'(0)=2
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y^{\prime\:\prime\:}+6y^{\prime\:}+25y=0,y(0)=0,y^{\prime\:}(0)=2
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4(d^2y)/(dx^2)+36y=0
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4\frac{d^{2}y}{dx^{2}}+36y=0
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9y^{''}-12y^'+4y=0,y(0)=e^{2/3 x}
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9y^{\prime\:\prime\:}-12y^{\prime\:}+4y=0,y(0)=e^{\frac{2}{3}x}
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Frequently Asked Questions (FAQ)
What is the solution for (D^3-8)y=0 ?
- The solution for (D^3-8)y=0 is y=c_{1}e^{2x}+e^{-x}(c_{2}cos(sqrt(3)x)+c_{3}sin(sqrt(3)x))