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人気のある微分積分 >

(dy)/(dx)=a^{x+y}

解

\frac{d y}{d x} = a^{x + y}

解

y = - \frac{ln ( - a ^{x} - c _{1} ln ( a ) )}{ln ( a )}

解答ステップ

\frac{d y}{d x} = a^{x + y}

分離可能 ODE を解く:

y = - \frac{ln ( - a ^{x} - c _{1} ln ( a ) )}{ln ( a )}

y = - \frac{ln ( - a ^{x} - c _{1} ln ( a ) )}{ln ( a )}

人気の例

integral of x^4tan^3(x^5)

\int x^{4} tan^{3} (x^{5}) d x

integral of sinh(5x)

\int sinh (5 x) d x

integral from 0 to 1 of 8cos(3x)

\int_{0}^{1} 8 cos (3 x) d x

f (x) = 4 cos^{2} (x)

(\partial)/(\partial x)(2xy-x^2y)

\frac{\partial}{\partial x} (2 x y - x^{2} y)