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Popular >

y^{''}-y^'=-7

Solution

y^{^{''}} - y^{^{'}} = - 7

Solution

y = c_{1} e^{t} + c_{2} + 7 t

Solution steps

y^{''} (t) - y^{'} (t) = - 7

Solve linear ODE:

y = c_{1} e^{t} + c_{2} + 7 t

y = c_{1} e^{t} + c_{2} + 7 t

Popular Examples

x^{''}+9x=sin(2.9t)

x^{^{''}} + 9 x = sin (2.9 t)

y^{''}-7y^'+12y=24

y^{^{''}} - 7 y^{^{'}} + 12 y = 24

y^{''}-6y^'+9y=(e^{3x})/x

y^{^{''}} - 6 y^{^{'}} + 9 y = \frac{e ^{3 x}}{x}

y^{''}-2y^'+10y=sin(3x)+cos(3x)

y^{^{''}} - 2 y^{^{'}} + 10 y = sin (3 x) + cos (3 x)

y^{''}-4y^'+13y=e^xcos(x)

y^{^{''}} - 4 y^{^{'}} + 13 y = e^{x} cos (x)

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-y^'=-7 ?
The solution for y^{''}-y^'=-7 is y=c_{1}e^t+c_{2}+7t