What is the solution for (y-2)(dy)/(dx)=3x-5 ?

The solution for (y-2)(dy)/(dx)=3x-5 is y=2+sqrt(3x^2-10x+c_{1)+4},y=2-sqrt(3x^2-10x+c_{1)+4}

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(y-2)(dy)/(dx)=3x-5

(y - 2) \frac{d y}{d x} = 3 x - 5

y = 2 + 3 x^{2} - 10 x + c_{1} + 4, y = 2 - 3 x^{2} - 10 x + c_{1} + 4

Solution steps

(y - 2) \frac{d y}{d x} = 3 x - 5

Solve separable ODE:

y = 2 + 3 x^{2} - 10 x + c_{1} + 4, y = 2 - 3 x^{2} - 10 x + c_{1} + 4

y = 2 + 3 x^{2} - 10 x + c_{1} + 4, y = 2 - 3 x^{2} - 10 x + c_{1} + 4

x \frac{d y}{d x} - 3 y = - 3

\frac{d h}{d t} = - h^{4}

\frac{d y}{d x} = \frac{y cos ( x )}{7 + y ^{2}}, y (0) = 1

3 e^{t} tan (y) d t + (2 - e^{t}) sec^{2} (y) d y = 0

y^{^{'}} = 2 x^{3} y

What is the solution for (y-2)(dy)/(dx)=3x-5 ?
The solution for (y-2)(dy)/(dx)=3x-5 is y=2+sqrt(3x^2-10x+c_{1)+4},y=2-sqrt(3x^2-10x+c_{1)+4}