Solve 120=5x^3y' - ScanMath

Evaluate

120 = 5 x^{3} y^{'}

Rewrite the expression

5 x^{3} y^{'} = 120

Rewrite the expression

5 x^{3} \frac{d y}{d x} = 120

Rewrite the expression

\frac{d y}{d x} = \frac{1}{5 x ^{3}} \times 120

Multiply the terms

More Steps

\frac{d y}{d x} = \frac{24}{x ^{3}}

Transform the expression

d y = \frac{24}{x ^{3}} \times 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 \frac{24}{x ^{3}} d x

Calculate

More Steps

y + C_{1} = \int \frac{24}{x ^{3}} d x, C_{1} \in R

Calculate

More Steps

y + C_{1} = - \frac{12}{x ^{2}} + C_{2}, C_{1} \in R, C_{2} \in R

Solution

y = - \frac{12}{x ^{2}} + C, C \in R

Solve the differential equation