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Popular >

y^{''}-4y=-4

Solution

y^{^{''}} - 4 y = - 4

Solution

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

Solution steps

y^{''} (t) - 4 y = - 4

Solve linear ODE:

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

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

Popular Examples

x^{''}+x^'=e^{-t}

x^{^{''}} + x^{^{'}} = e^{- t}

y^{''}+49y=8cos(7x)(3x+2)

y^{^{''}} + 49 y = 8 cos (7 x) (3 x + 2)

y^{''}+y^'-6y=t-2pi,y(0)=1,y^'(0)=2

y^{^{''}} + y^{^{'}} - 6 y = t - 2 π, y (0) = 1, y^{^{'}} (0) = 2

- v y^{^{''}} - a y = c

y^{''}-7y^'+10y=e^{3x}(-1+10x)

y^{^{''}} - 7 y^{^{'}} + 10 y = e^{3 x} (- 1 + 10 x)

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-4y=-4 ?
The solution for y^{''}-4y=-4 is y=c_{1}e^{2t}+c_{2}e^{-2t}+1