(x 1)dy/dx-y=e^3x(x 1)^2 111342 lumbungimg1u4

P(x,y)dxQ(x,y)dy = 0 where P(x,y) = 2(y 1)ex Q(x,y) = 2(ex −2y) ∂P ∂y = 2e x = ∂Q ∂x, ∴ ode is exact ∴ u(x,y) exists such that du = ∂u ∂x dx...

[新しいコレクション] (x^2-1)y'' 4xy' 2y=0 117072-(x^2-1)y''+4xy'+2y=0 lumbungimg1u4

Solve on {eq}(0,\infty) {/eq} {eq}x^2y''xy'(x^2\frac{1}4)y=x^{\frac{3}2} {/eq} Given two solutions to the associated homogeneous...