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人気のある微分積分 >

xy^'-3y^'-(x-3)sin(x)+y=0

解

x y^{^{'}} - 3 y^{^{'}} - (x - 3) sin (x) + y = 0

解

y = - cos (x) + \frac{sin ( x )}{x - 3} + \frac{c _{1}}{x - 3}

解答ステップ

x y^{'} (x) - 3 y^{'} (x) - (x - 3) sin (x) + y = 0

線形 ODE を解く:

y = - cos (x) + \frac{sin ( x )}{x - 3} + \frac{c _{1}}{x - 3}

y = - cos (x) + \frac{sin ( x )}{x - 3} + \frac{c _{1}}{x - 3}

グラフ

人気の例

f^'(x)=12x^2-6x+1,f(1)=5

f^{^{'}} (x) = 12 x^{2} - 6 x + 1, f (1) = 5

derivative of-1/6 x^3-1/2 x^2+x+1+ke^k

\frac{d}{d x} (- \frac{1}{6} x^{3} - \frac{1}{2} x^{2} + x + 1 + k e^{k})

integral of 8sec^4(θ)tan^2(θ)

\int 8 sec^{4} (θ) tan^{2} (θ) d θ

(\partial)/(\partial x)(xy+1/x+8/y)

\frac{\partial}{\partial x} (x y + \frac{1}{x} + \frac{8}{y})

sum from n=1 to infinity of 1/((3+2n)^2)

n = 1 \sum \infty \frac{1}{( 3 + 2 n ) ^{2}}