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Popular >

y^{''}-3y^'=1

Solution

y^{^{''}} - 3 y^{^{'}} = 1

Solution

y = c_{1} e^{3 t} + c_{2} - \frac{t}{3}

Solution steps

y^{''} (t) - 3 y^{'} (t) = 1

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} - \frac{t}{3}

y = c_{1} e^{3 t} + c_{2} - \frac{t}{3}

Graph

Popular Examples

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

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

y^{''}+4y=t^2+2e^t,y(0)=0,y^'(0)=1

y^{^{''}} + 4 y = t^{2} + 2 e^{t}, y (0) = 0, y^{^{'}} (0) = 1

(d^4+10d^2+9)y=sin(3x)+cos(3x)

(d^{4} + 10 d^{2} + 9) y = sin (3 x) + cos (3 x)

y^{''}-10y^'+25y=30x+12

y^{^{''}} - 10 y^{^{'}} + 25 y = 30 x + 12

y^{''}+2y^'-3y=4e^x

y^{^{''}} + 2 y^{^{'}} - 3 y = 4 e^{x}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-3y^'=1 ?
The solution for y^{''}-3y^'=1 is y=c_{1}e^{3t}+c_{2}-t/3