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Popular >

ty^'-4y=t^6e^t

Solution

t y^{^{'}} - 4 y = t^{6} e^{t}

Solution

y = e^{t} t^{5} - e^{t} t^{4} + c_{1} t^{4}

Solution steps

t y^{'} (t) - 4 y = t^{6} e^{t}

Solve linear ODE:

y = e^{t} t^{5} - e^{t} t^{4} + c_{1} t^{4}

y = e^{t} t^{5} - e^{t} t^{4} + c_{1} t^{4}

Popular Examples

derivative of (11)/((9x+11)^2)derivative of

\frac{11}{( 9 x + 11 ) ^{2}}

(\partial)/(\partial x)(y/((y+x)^2))

\frac{\partial}{\partial x} (\frac{y}{( y + x ) ^{2}})

derivative of xe^{4x}+cos(2x)

\frac{d}{d x} (x e^{4 x} + cos (2 x))

(dy)/(dx)=y^2-16

\frac{d y}{d x} = y^{2} - 16

limit as x approaches 0 of f(x)-g(x)

x \to 0 lim (f (x) - g (x))

Frequently Asked Questions (FAQ)

What is the solution for ty^'-4y=t^6e^t ?
The solution for ty^'-4y=t^6e^t is y=e^tt^5-e^tt^4+c_{1}t^4