What is the solution for y^'-3y=7e^{3x},y(0)=0 ?

The solution for y^'-3y=7e^{3x},y(0)=0 is y=7e^{3x}x

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y^'-3y=7e^{3x},y(0)=0

y^{^{'}} - 3 y = 7 e^{3 x}, y (0) = 0

y = 7 e^{3 x} x

Solution steps

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

Solve linear ODE:

y = 7 e^{3 x} x

y = 7 e^{3 x} x

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What is the solution for y^'-3y=7e^{3x},y(0)=0 ?
The solution for y^'-3y=7e^{3x},y(0)=0 is y=7e^{3x}x