What is the solution for y(dy)/(dt)=2t+7 ?

The solution for y(dy)/(dt)=2t+7 is y=sqrt(2t^2+14t+c_{1)},y=-sqrt(2t^2+14t+c_{1)}

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y(dy)/(dt)=2t+7

y \frac{d y}{d t} = 2 t + 7

y = 2 t^{2} + 14 t + c_{1}, y = - 2 t^{2} + 14 t + c_{1}

Solution steps

y \frac{d y}{d t} = 2 t + 7

Solve separable ODE:

y = 2 t^{2} + 14 t + c_{1}, y = - 2 t^{2} + 14 t + c_{1}

y = 2 t^{2} + 14 t + c_{1}, y = - 2 t^{2} + 14 t + c_{1}

y = x^{\frac{2}{x}}

1 t

\frac{\partial}{\partial x} (x^{^{'}} A x)

(- 3, 1), (0, - 3)

What is the solution for y(dy)/(dt)=2t+7 ?
The solution for y(dy)/(dt)=2t+7 is y=sqrt(2t^2+14t+c_{1)},y=-sqrt(2t^2+14t+c_{1)}