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Popular >

t^2y^{''}-3ty^'+3y=0

Solution

t^{2} y^{^{''}} - 3 t y^{^{'}} + 3 y = 0

Solution

y = c_{1} t^{3} + c_{2} t

Solution steps

t^{2} y^{''} (t) - 3 t y^{'} (t) + 3 y = 0

Solve linear ODE:

y = c_{1} t^{3} + c_{2} t

y = c_{1} t^{3} + c_{2} t

Graph

Popular Examples

(\partial)/(\partial x)(81-9x^2-y^2)

\frac{\partial}{\partial x} (81 - 9 x^{2} - y^{2})

tangent of y^2=5x^4-x^2,(-1,2)tangent of

y^{2} = 5 x^{4} - x^{2}, (- 1, 2)

integral of 1/(y^2(y^2+1))

\int \frac{1}{y ^{2} ( y ^{2} + 1 )} d y

derivative of M^2(C/2-M/3)derivative of

M^{2} (\frac{C}{2} - \frac{M}{3})

y^'=0.002y-200,y(0)=80000

y^{^{'}} = 0.002 y - 200, y (0) = 80000

Frequently Asked Questions (FAQ)

What is the solution for t^2y^{''}-3ty^'+3y=0 ?
The solution for t^2y^{''}-3ty^'+3y=0 is y=c_{1}t^3+c_{2}t