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人気のある微分積分 >

(dy)/(dx)= 1/x (y^2+0.6y)

解

\frac{d y}{d x} = \frac{1}{x} (y^{2} + 0.6 y)

解

y = \frac{0.6 e ^{0.6 c_{1}} x ^{0.6}}{1 - e ^{0.6 c_{1}} x ^{0.6}}

解答ステップ

\frac{d y}{d x} = \frac{1}{x} (y^{2} + 0.6 y)

分離可能 ODE を解く:

y = \frac{0.6 e ^{0.6 c_{1}} x ^{0.6}}{1 - e ^{0.6 c_{1}} x ^{0.6}}

y = \frac{0.6 e ^{0.6 c_{1}} x ^{0.6}}{1 - e ^{0.6 c_{1}} x ^{0.6}}

グラフ

人気の例

integral from-1 to 3 of-x^2+2x+3

\int_{- 1}^{3} - x^{2} + 2 x + 3 d x

f^'(x)=sqrt(x)(3+5x),f(1)=7

f^{^{'}} (x) = x (3 + 5 x), f (1) = 7

integral of (sin(x))/(sin(x)+cos(x))

\int \frac{sin ( x )}{sin ( x ) + cos ( x )} d x

solvefor f,tan(f)(x)=7x^4+4 x/2 sqrt(x^3+1)

so l v e f or f, tan (f) (x) = 7 x^{4} + 4 \frac{x}{2} x^{3} + 1

integral of (1/(x^3)+7/(x^2))

\int (\frac{1}{x ^{3}} + \frac{7}{x ^{2}}) d x