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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Graph

Popular Examples

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

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

y^{''}+y=9e^{-7x},y(0)=0,y^'(0)=0

y^{^{''}} + y = 9 e^{- 7 x}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+6y^'+5y=-9e^{2x}

y^{^{''}} + 6 y^{^{'}} + 5 y = - 9 e^{2 x}

y^{''}+18y^'+81y=x,y(0)=0,y^'(0)=0

y^{^{''}} + 18 y^{^{'}} + 81 y = x, y (0) = 0, y^{^{'}} (0) = 0

20y^{''}+9y^'+x=0,y(0)=0,y^'(0)=3

20 y^{^{''}} + 9 y^{^{'}} + x = 0, y (0) = 0, y^{^{'}} (0) = 3

Frequently Asked Questions (FAQ)

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