What is the solution for 7t(dy)/(dt)+y=0,y(1)=1 ?

The solution for 7t(dy)/(dt)+y=0,y(1)=1 is y= 1/(\sqrt[7]{t)}

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7t(dy)/(dt)+y=0,y(1)=1

7 t \frac{d y}{d t} + y = 0, y (1) = 1

y = \frac{1}{7 t}

Solution steps

7 t \frac{d y}{d t} + y = 0

Solve separable ODE:

y = \frac{1}{7 t}

y = \frac{1}{7 t}

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x \to 0.1 lim (\frac{e ^{5 x} - 1}{x})

4 y^{^{''}} + 36 y^{^{'}} + 81 y = 0

- 3 x^{2} + 6 x - 2

What is the solution for 7t(dy)/(dt)+y=0,y(1)=1 ?
The solution for 7t(dy)/(dt)+y=0,y(1)=1 is y= 1/(\sqrt[7]{t)}