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Popular >

(3d^2+3)y=3x

Solution

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

Solution

y = c_{1} cos (x) + c_{2} sin (x) + x

Solution steps

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

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + x

y = c_{1} cos (x) + c_{2} sin (x) + x

Popular Examples

y^{''}+5y^'+6y=4+5x

y^{^{''}} + 5 y^{^{'}} + 6 y = 4 + 5 x

y^{''}+3y^'-10y=20+5e^{3x}

y^{^{''}} + 3 y^{^{'}} - 10 y = 20 + 5 e^{3 x}

x^{''}+4x^'+14x=9cos(3t)

x^{^{''}} + 4 x^{^{'}} + 14 x = 9 cos (3 t)

y^{''}+6y^'+9y=4sin(6t)

y^{^{''}} + 6 y^{^{'}} + 9 y = 4 sin (6 t)

y^{''}+9y=t+3,y(0)=1,y^'(0)=2

y^{^{''}} + 9 y = t + 3, y (0) = 1, y^{^{'}} (0) = 2

Frequently Asked Questions (FAQ)

What is the solution for (3d^2+3)y=3x ?
The solution for (3d^2+3)y=3x is y=c_{1}cos(x)+c_{2}sin(x)+x