Solve y'=7x^2-3x - ScanMath

Evaluate

y^{'} = 7 x^{2} - 3 x

Rewrite the expression

\frac{d y}{d x} = 7 x^{2} - 3 x

Transform the expression

d y = (7 x^{2} - 3 x) d x

Integrate the left-hand side of the equation with respect to y and the right-hand side of the equation with respect to x

\int 1 d y = \int (7 x^{2} - 3 x) d x

Calculate

More Steps

y + C_{1} = \int (7 x^{2} - 3 x) d x, C_{1} \in R

Calculate

More Steps

y + C_{1} = \frac{14 x ^{3} - 9 x ^{2}}{6} + C_{2}, C_{1} \in R, C_{2} \in R

Solution

y = \frac{14 x ^{3} - 9 x ^{2}}{6} + C, C \in R

Solve the differential equation