What is the solution for y^{''}-35y^'+9y=60t,y(0)=-1,y^'(0)=2 ?

The solution for y^{''}-35y^'+9y=60t,y(0)=-1,y^'(0)=2 is

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y^{''}-35y^'+9y=60t,y(0)=-1,y^'(0)=2

y^{^{''}} - 35 y^{^{'}} + 9 y = 60 t, y (0) = - 1, y^{^{'}} (0) = 2

y = (\frac{25193 + 727 1189}{54 1189} - \frac{727}{27}) e^{\frac{( 35 + 1189 ) t}{2}} - \frac{25193 + 727 1189}{54 1189} e^{\frac{( 35 - 1189 ) t}{2}} + \frac{20 t}{3} + \frac{700}{27}

Solution steps

y^{''} (t) - 35 y^{'} (t) + 9 y = 60 t

Solve linear ODE:

y = (\frac{25193 + 727 1189}{54 1189} - \frac{727}{27}) e^{\frac{( 35 + 1189 ) t}{2}} - \frac{25193 + 727 1189}{54 1189} e^{\frac{( 35 - 1189 ) t}{2}} + \frac{20 t}{3} + \frac{700}{27}

y = (\frac{25193 + 727 1189}{54 1189} - \frac{727}{27}) e^{\frac{( 35 + 1189 ) t}{2}} - \frac{25193 + 727 1189}{54 1189} e^{\frac{( 35 - 1189 ) t}{2}} + \frac{20 t}{3} + \frac{700}{27}

What is the solution for y^{''}-35y^'+9y=60t,y(0)=-1,y^'(0)=2 ?
The solution for y^{''}-35y^'+9y=60t,y(0)=-1,y^'(0)=2 is