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Popular >

y^{''}-16y^'=0

Solution

y^{^{''}} - 16 y^{^{'}} = 0

Solution

y = c_{1} e^{16 t} + c_{2}

Solution steps

y^{''} (t) - 16 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} e^{16 t} + c_{2}

y = c_{1} e^{16 t} + c_{2}

Graph

Popular Examples

x^{''}+5x^'+4x=0

x^{^{''}} + 5 x^{^{'}} + 4 x = 0

y^{''}+4y=0,y(pi/6)=1,y^'(pi/6)=-2

y^{^{''}} + 4 y = 0, y (\frac{π}{6}) = 1, y^{^{'}} (\frac{π}{6}) = - 2

y^{''}+y^'+5/4 y=0,y(0)=3,y^'(0)=1

y^{^{''}} + y^{^{'}} + \frac{5}{4} y = 0, y (0) = 3, y^{^{'}} (0) = 1

y^{''}-14y^'+58y=0

y^{^{''}} - 14 y^{^{'}} + 58 y = 0

y^{''}+2y^'+y=0,y^'(0)=8,y(1)=8

y^{^{''}} + 2 y^{^{'}} + y = 0, y^{^{'}} (0) = 8, y (1) = 8

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-16y^'=0 ?
The solution for y^{''}-16y^'=0 is y=c_{1}e^{16t}+c_{2}