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Popular >

y^{''}+y^'=2x+3

Solution

y^{^{''}} + y^{^{'}} = 2 x + 3

Solution

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

Solution steps

y^{''} (x) + y^{'} (x) = 2 x + 3

Solve linear ODE:

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

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

Graph

Popular Examples

y^{''}-4y^'+4y=14x+5

y^{^{''}} - 4 y^{^{'}} + 4 y = 14 x + 5

y^{''}+10y^'+25y=e^{(-10x)/(x^2)}

y^{^{''}} + 10 y^{^{'}} + 25 y = e^{\frac{- 10 x}{x ^{2}}}

d(r)=((ln(2)))/(ln(1+0.04))

d (r) = \frac{( ln ( 2 ) )}{ln ( 1 + 0.04 )}

y^{''}+y^'=2x-2

y^{^{''}} + y^{^{'}} = 2 x - 2

x^{''}-(pi^2)x=-1/pi

x^{^{''}} - (π^{2}) x = - \frac{1}{π}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+y^'=2x+3 ?
The solution for y^{''}+y^'=2x+3 is y=c_{1}+c_{2}e^{-x}+x^2+x