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Popular >

y^'=y^{''}

Solution

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

Solution

y = c_{1} + c_{2} e^{t}

Solution steps

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

Solve linear ODE:

y = c_{1} + c_{2} e^{t}

y = c_{1} + c_{2} e^{t}

Popular Examples

2y^{''}+4y^'-7y=0

2 y^{^{''}} + 4 y^{^{'}} - 7 y = 0

81 y^{^{''''}} = 16 y

(d^2x)/(dt^2)+4(dx)/(dt)+5x=0

\frac{d ^{2} x}{d t ^{2}} + 4 \frac{d x}{d t} + 5 x = 0

y^{^{''}} - 441 y = 0

(d^2x)/(dt^2)+6(dx)/(dt)+10x=0

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} + 10 x = 0

Frequently Asked Questions (FAQ)

What is the solution for y^'=y^{''} ?
The solution for y^'=y^{''} is y=c_{1}+c_{2}e^t