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Popular >

(dy)/(dx)-7y=e^x

Solution

\frac{d y}{d x} - 7 y = e^{x}

Solution

y = - \frac{e ^{x}}{6} + c_{1} e^{7 x}

Solution steps

\frac{d y}{d x} - 7 y = e^{x}

Solve linear ODE:

y = - \frac{e ^{x}}{6} + c_{1} e^{7 x}

y = - \frac{e ^{x}}{6} + c_{1} e^{7 x}

Popular Examples

y^'=(11x^2-1)/(11+4y)

y^{^{'}} = \frac{11 x ^{2} - 1}{11 + 4 y}

derivative of h(t)=(t+1)^{2/3}(2t^2-5)^3 derivative of

h (t) = (t + 1)^{\frac{2}{3}} (2 t^{2} - 5)^{3}

tangent of f(x)=(7x)/(3+x^2),\at x=2 tangent of

f (x) = \frac{7 x}{3 + x ^{2}}, at x = 2

limit as x approaches 1 of-1/((x-1)^2)

x \to 1 lim (- \frac{1}{( x - 1 ) ^{2}})

tangent of y=(-6x)/(x^2+1),(0,0)tangent of

y = \frac{- 6 x}{x ^{2} + 1}, (0, 0)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)-7y=e^x ?
The solution for (dy)/(dx)-7y=e^x is y=-(e^x)/6+c_{1}e^{7x}