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10 cards from this deck
To isolate variables for solving differential equations.
It should be in the form dy/dx=g(x)h(y)dy/dx = g(x)h(y)dy/dx=g(x)h(y).
Separate yyy terms from xxx terms in the equation.
1ydy=xdx\frac{1}{y} dy = x dxy1dy=xdx.
Integrate both sides with respect to their variables.
It's ln∣y∣+C\ln |y| + Cln∣y∣+C.
It's an arbitrary constant after integration.
Add the constant of integration, CCC.
y=C1ex22y = C_1 e^{\frac{x^2}{2}}y=C1e2x2.
It's a solution not explicitly solving for yyy.
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