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Popular Examples
(d^2f)/(dx^2)=af(x)
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\frac{d^{2}f}{dx^{2}}=af(x)
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y^{'''}+36y^'=0,y^{''}(0)=108
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y^{\prime\:\prime\:\prime\:}+36y^{\prime\:}=0,y^{\prime\:\prime\:}(0)=108
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x^{''}+2x=0,x(0)=-1,x^'(0)=-2sqrt(2)
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x^{\prime\:\prime\:}+2x=0,x(0)=-1,x^{\prime\:}(0)=-2\sqrt{2}
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y^{''}=3y^'+5y,y(2)=8
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y^{\prime\:\prime\:}=3y^{\prime\:}+5y,y(2)=8
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y^{''}+36y=0,y(0)=4,y^'(0)=-5
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y^{\prime\:\prime\:}+36y=0,y(0)=4,y^{\prime\:}(0)=-5
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Frequently Asked Questions (FAQ)
What is the solution for y^{''}+4y^'+5y=0,y(0)=1,y^'(0)=2 ?
- The solution for y^{''}+4y^'+5y=0,y(0)=1,y^'(0)=2 is y=e^{-2t}(cos(t)+4sin(t))