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- Equation différentielle exacte
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Group the terms of the differential equation. Move the terms of the $y$ variable to the left side, and the terms of the $x$ variable to the right side of the equality
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$\frac{1}{y^2}dy=\sin\left(x^2\right)\cdot dx$
Learn how to solve equations différentielles problems step by step online. dy/dx=y^2sin(x^2). Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Apply the formula: b\cdot dy=a\cdot dx\to \int bdy=\int adx, where a=\sin\left(x^2\right), b=\frac{1}{y^2}, dyb=dxa=\frac{1}{y^2}dy=\sin\left(x^2\right)\cdot dx, dyb=\frac{1}{y^2}dy and dxa=\sin\left(x^2\right)\cdot dx. Solve the integral \int\frac{1}{y^2}dy and replace the result in the differential equation. Solve the integral \int\sin\left(x^2\right)dx and replace the result in the differential equation.
