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人気のある微分積分 >

2ty^'-4y=4t^4e^{t^2}

解

2 t y^{^{'}} - 4 y = 4 t^{4} e^{t^{2}}

解

y = e^{t^{2}} t^{2} + c_{1} t^{2}

解答ステップ

2 t y^{'} (t) - 4 y = 4 t^{4} e^{t^{2}}

線形 ODE を解く:

y = e^{t^{2}} t^{2} + c_{1} t^{2}

y = e^{t^{2}} t^{2} + c_{1} t^{2}

グラフ

人気の例

(\partial)/(\partial x)(4e^{5xy})

\frac{\partial}{\partial x} (4 e^{5 x y})

limit as x approaches+0 of 1/(csc(x))

x \to + 0 lim (\frac{1}{csc ( x )})

integral of 1/(100x^2+1)

\int \frac{1}{100 x ^{2} + 1} d x

y^'= y/x+(6x^3)/y cos(x^2)

y^{^{'}} = \frac{y}{x} + \frac{6 x ^{3}}{y} cos (x^{2})

tangent y=2x+x^2,(-2,0)

t an g e n t y = 2 x + x^{2}, (- 2, 0)