(d)h(x)= 1/((1+x^2))

Lösung

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

h (x) = c_{1} + arctan (x)

Schritte zur Lösung

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

Solve linear ODE:

h (x) = c_{1} + arctan (x)

h (x) = c_{1} + arctan (x)

(d^{2} + 3 d + 1) \cdot y = x^{2} \cdot e^{3 x}

(d^{2} + 4) y = x^{2}

(d + d + d^{2}) y = 5 x^{2}

(d^{2} - 1) y = e^{x}

4 y^{^{''}} + 4 y^{^{'}} + 3 y = 4 e^{- 3} x + 18 x + 15