2.77   ODE No. 77

1. Problem in Latex
2. Mathematica input
3. Maple input

$$y^{\prime }(x)-\cos (ay(x)+bx)=0$$ ✓ Mathematica : cpu = 0.308356 (sec), leaf count = 124

$$\left\{\{y(x)\to \frac{-2{\tan }^{-1}(\frac{a\tanh \left(\frac{1}{2}(c_1\sqrt{a^2-b^2}-x\sqrt{a^2-b^2})\right)}{\sqrt{a^2-b^2}}+\frac{b\tanh \left(\frac{1}{2}(c_1\sqrt{a^2-b^2}-x\sqrt{a^2-b^2})\right)}{\sqrt{a^2-b^2}})-bx}{a}\}\right\}$$

✓ Maple : cpu = 0.075 (sec), leaf count = 65

$$\{y\left(x\right)=-\frac{1}{a}(bx+2\arctan \left(\frac{\tanh (1/2\mathit{\_}\mathit{C}\mathit{1}\sqrt{a^2-b^2}-1/2x\sqrt{a^2-b^2})\sqrt{a^2-b^2}}{a-b}\right))\}$$