2xy9x^2(2yx^21)\frac{dy}{dx}=0, y(0)=3 en Related Symbolab blog posts Advanced Math Solutions – Ordinary Differential Equations Calculator, Linear ODE Ordinary differential equations can be a little tricky In a previous post, we talked about a brief overview of This is a first order separable differential equation dy dx = y2 −4 dy y2 −4 = dx ∫ dy y2 − 4 = ∫dx Perform partial fraction 1 y2 −4 = A y 2 B y − 2 = A(y − 2) B(y 2) (y2 − 4) Compare the numerators 1 = A(y −2) B(y 2)F = x 2 y 4 x 2 y 4 ((x 2 y − 2 x y 2) d x (x 3 − 3 x 2 y) d y) = 0 Exact Differential Equation possible textbook mistake (3x^26xy^2) dx (6x^2y4y^2)dy = 0 and y(0)=2 Exact Differential Equation possible textbook mistake ( 3 x 2 6 x y 2 ) d x ( 6 x 2 y 4 y 2 ) d y = 0 and y ( 0 ) = 2
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