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Popular >

y^{'''}=0

Solution

y^{^{'''}} = 0

Solution

y = \frac{c _{1} t ^{2}}{2} + c_{2} t + c_{3}

Solution steps

y^{'''} (t) = 0

Solve

y^{'''} (t) = 0 : y^{''} (t) = c_{1}

Solve

y^{''} (t) = c_{1} : y^{'} (t) = c_{1} t + c_{2}

Solve

y^{'} (t) = c_{1} t + c_{2} : y = \frac{c _{1} t ^{2}}{2} + c_{2} t + c_{3}

y = \frac{c _{1} t ^{2}}{2} + c_{2} t + c_{3}

Popular Examples

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4y^{''}+12y^'+9y=0,y(0)=1,y^'(0)=-5

4 y^{^{''}} + 12 y^{^{'}} + 9 y = 0, y (0) = 1, y^{^{'}} (0) = - 5

derivative of sqrt(x)sin(x)derivative of

x sin (x)

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f (x) = 1 + 8 x

Frequently Asked Questions (FAQ)

What is the solution for y^{'''}=0 ?
The solution for y^{'''}=0 is y=(c_{1}t^2)/2+c_{2}t+c_{3}